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Finding the Fourth Proportional to 7,566,978.61, 10,442,652.60 and 4,129,441.48

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Solution

The fourth proportional to 7,566,978.61, 10,442,652.60 and 4,129,441.48 is: 5,698,750.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566,978.61 : 10,442,652.60 = 4,129,441.48 : x
  2. Step 2: Convert to fraction form
    7,566,978.61/10,442,652.60 = 4,129,441.48/x
  3. Step 3: Cross multiply
    7,566,978.61x = 10,442,652.60 × 4,129,441.48
  4. Step 4: Simplify right side
    7,566,978.61x = 43,122,322,807,669.84
  5. Step 5: Solve for x
    x = 43,122,322,807,669.84/7,566,978.61
  6. Step 6: Final answer
    x = 5,698,750.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.