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Finding the Fourth Proportional to 10,487.78, 14,473.14 and 5,771.96

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Solution

The fourth proportional to 10,487.78, 14,473.14 and 5,771.96 is: 7,965.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.78 : 14,473.14 = 5,771.96 : x
  2. Step 2: Convert to fraction form
    10,487.78/14,473.14 = 5,771.96/x
  3. Step 3: Cross multiply
    10,487.78x = 14,473.14 × 5,771.96
  4. Step 4: Simplify right side
    10,487.78x = 83,538,385.15
  5. Step 5: Solve for x
    x = 83,538,385.15/10,487.78
  6. Step 6: Final answer
    x = 7,965.31

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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.