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Finding the Fourth Proportional to 10,508.48, 14,487.76 and 8,709.22

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Solution

The fourth proportional to 10,508.48, 14,487.76 and 8,709.22 is: 12,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.48 : 14,487.76 = 8,709.22 : x
  2. Step 2: Convert to fraction form
    10,508.48/14,487.76 = 8,709.22/x
  3. Step 3: Cross multiply
    10,508.48x = 14,487.76 × 8,709.22
  4. Step 4: Simplify right side
    10,508.48x = 126,177,089.15
  5. Step 5: Solve for x
    x = 126,177,089.15/10,508.48
  6. Step 6: Final answer
    x = 12,007.17

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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.