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Finding the Fourth Proportional to 7,978.86, 11,011.02 and 4,442.31

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Solution

The fourth proportional to 7,978.86, 11,011.02 and 4,442.31 is: 6,130.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.86 : 11,011.02 = 4,442.31 : x
  2. Step 2: Convert to fraction form
    7,978.86/11,011.02 = 4,442.31/x
  3. Step 3: Cross multiply
    7,978.86x = 11,011.02 × 4,442.31
  4. Step 4: Simplify right side
    7,978.86x = 48,914,364.26
  5. Step 5: Solve for x
    x = 48,914,364.26/7,978.86
  6. Step 6: Final answer
    x = 6,130.50

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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.