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Finding the Fourth Proportional to 10,486.92, 14,471.40 and 5,770.29

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Solution

The fourth proportional to 10,486.92, 14,471.40 and 5,770.29 is: 7,962.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.92 : 14,471.40 = 5,770.29 : x
  2. Step 2: Convert to fraction form
    10,486.92/14,471.40 = 5,770.29/x
  3. Step 3: Cross multiply
    10,486.92x = 14,471.40 × 5,770.29
  4. Step 4: Simplify right side
    10,486.92x = 83,504,174.71
  5. Step 5: Solve for x
    x = 83,504,174.71/10,486.92
  6. Step 6: Final answer
    x = 7,962.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.