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Finding the Fourth Proportional to 10,487.11, 14,471.88 and 5,771.38

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Solution

The fourth proportional to 10,487.11, 14,471.88 and 5,771.38 is: 7,964.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.11 : 14,471.88 = 5,771.38 : x
  2. Step 2: Convert to fraction form
    10,487.11/14,471.88 = 5,771.38/x
  3. Step 3: Cross multiply
    10,487.11x = 14,471.88 × 5,771.38
  4. Step 4: Simplify right side
    10,487.11x = 83,522,718.79
  5. Step 5: Solve for x
    x = 83,522,718.79/10,487.11
  6. Step 6: Final answer
    x = 7,964.32

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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.