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Finding the Fourth Proportional to 10,491.63, 15,732.31 and 4,940.29

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Solution

The fourth proportional to 10,491.63, 15,732.31 and 4,940.29 is: 7,408.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.63 : 15,732.31 = 4,940.29 : x
  2. Step 2: Convert to fraction form
    10,491.63/15,732.31 = 4,940.29/x
  3. Step 3: Cross multiply
    10,491.63x = 15,732.31 × 4,940.29
  4. Step 4: Simplify right side
    10,491.63x = 77,722,173.77
  5. Step 5: Solve for x
    x = 77,722,173.77/10,491.63
  6. Step 6: Final answer
    x = 7,408.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.