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Finding the Fourth Proportional to 10,491.31, 14,467.76 and 6,713.10

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Solution

The fourth proportional to 10,491.31, 14,467.76 and 6,713.10 is: 9,257.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.31 : 14,467.76 = 6,713.10 : x
  2. Step 2: Convert to fraction form
    10,491.31/14,467.76 = 6,713.10/x
  3. Step 3: Cross multiply
    10,491.31x = 14,467.76 × 6,713.10
  4. Step 4: Simplify right side
    10,491.31x = 97,123,519.66
  5. Step 5: Solve for x
    x = 97,123,519.66/10,491.31
  6. Step 6: Final answer
    x = 9,257.52

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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.