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Finding the Fourth Proportional to 10,677.48, 14,732.11 and 6,484.92

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Solution

The fourth proportional to 10,677.48, 14,732.11 and 6,484.92 is: 8,947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.48 : 14,732.11 = 6,484.92 : x
  2. Step 2: Convert to fraction form
    10,677.48/14,732.11 = 6,484.92/x
  3. Step 3: Cross multiply
    10,677.48x = 14,732.11 × 6,484.92
  4. Step 4: Simplify right side
    10,677.48x = 95,536,554.78
  5. Step 5: Solve for x
    x = 95,536,554.78/10,677.48
  6. Step 6: Final answer
    x = 8,947.48

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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.