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Finding the Fourth Proportional to 10,732.72, 14,817.72 and 8,503.60

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Solution

The fourth proportional to 10,732.72, 14,817.72 and 8,503.60 is: 11,740.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.72 : 14,817.72 = 8,503.60 : x
  2. Step 2: Convert to fraction form
    10,732.72/14,817.72 = 8,503.60/x
  3. Step 3: Cross multiply
    10,732.72x = 14,817.72 × 8,503.60
  4. Step 4: Simplify right side
    10,732.72x = 126,003,963.79
  5. Step 5: Solve for x
    x = 126,003,963.79/10,732.72
  6. Step 6: Final answer
    x = 11,740.17

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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.