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Finding the Fourth Proportional to 10,487.96, 14,473.20 and 5,707.74

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Solution

The fourth proportional to 10,487.96, 14,473.20 and 5,707.74 is: 7,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.96 : 14,473.20 = 5,707.74 : x
  2. Step 2: Convert to fraction form
    10,487.96/14,473.20 = 5,707.74/x
  3. Step 3: Cross multiply
    10,487.96x = 14,473.20 × 5,707.74
  4. Step 4: Simplify right side
    10,487.96x = 82,609,224.73
  5. Step 5: Solve for x
    x = 82,609,224.73/10,487.96
  6. Step 6: Final answer
    x = 7,876.58

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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.