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Finding the Fourth Proportional to 10,652.40, 15,978.60 and 4,411.56

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Solution

The fourth proportional to 10,652.40, 15,978.60 and 4,411.56 is: 6,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.40 : 15,978.60 = 4,411.56 : x
  2. Step 2: Convert to fraction form
    10,652.40/15,978.60 = 4,411.56/x
  3. Step 3: Cross multiply
    10,652.40x = 15,978.60 × 4,411.56
  4. Step 4: Simplify right side
    10,652.40x = 70,490,552.62
  5. Step 5: Solve for x
    x = 70,490,552.62/10,652.40
  6. Step 6: Final answer
    x = 6,617.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.