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Finding the Fourth Proportional to 10,572.05, 15,859.56 and 4,332.96

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Solution

The fourth proportional to 10,572.05, 15,859.56 and 4,332.96 is: 6,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,572.05 : 15,859.56 = 4,332.96 : x
  2. Step 2: Convert to fraction form
    10,572.05/15,859.56 = 4,332.96/x
  3. Step 3: Cross multiply
    10,572.05x = 15,859.56 × 4,332.96
  4. Step 4: Simplify right side
    10,572.05x = 68,718,839.10
  5. Step 5: Solve for x
    x = 68,718,839.10/10,572.05
  6. Step 6: Final answer
    x = 6,500.05

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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.