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Finding the Fourth Proportional to 10,491.47, 15,732.23 and 3,823.25

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Solution

The fourth proportional to 10,491.47, 15,732.23 and 3,823.25 is: 5,733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,491.47 : 15,732.23 = 3,823.25 : x
  2. Step 2: Convert to fraction form
    10,491.47/15,732.23 = 3,823.25/x
  3. Step 3: Cross multiply
    10,491.47x = 15,732.23 × 3,823.25
  4. Step 4: Simplify right side
    10,491.47x = 60,148,239.06
  5. Step 5: Solve for x
    x = 60,148,239.06/10,491.47
  6. Step 6: Final answer
    x = 5,733.06

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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.