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Finding the Fourth Proportional to 10,732.96, 14,810.88 and 6,257.44

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Solution

The fourth proportional to 10,732.96, 14,810.88 and 6,257.44 is: 8,634.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,732.96 : 14,810.88 = 6,257.44 : x
  2. Step 2: Convert to fraction form
    10,732.96/14,810.88 = 6,257.44/x
  3. Step 3: Cross multiply
    10,732.96x = 14,810.88 × 6,257.44
  4. Step 4: Simplify right side
    10,732.96x = 92,678,192.95
  5. Step 5: Solve for x
    x = 92,678,192.95/10,732.96
  6. Step 6: Final answer
    x = 8,634.91

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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.