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Finding the Fourth Proportional to 10,593.28, 15,884.16 and 4,432

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Solution

The fourth proportional to 10,593.28, 15,884.16 and 4,432 is: 6,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.28 : 15,884.16 = 4,432 : x
  2. Step 2: Convert to fraction form
    10,593.28/15,884.16 = 4,432/x
  3. Step 3: Cross multiply
    10,593.28x = 15,884.16 × 4,432
  4. Step 4: Simplify right side
    10,593.28x = 70,398,597.12
  5. Step 5: Solve for x
    x = 70,398,597.12/10,593.28
  6. Step 6: Final answer
    x = 6,645.59

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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.