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Finding the Fourth Proportional to 10,323.25, 15,491.25 and 4,082.20

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Solution

The fourth proportional to 10,323.25, 15,491.25 and 4,082.20 is: 6,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323.25 : 15,491.25 = 4,082.20 : x
  2. Step 2: Convert to fraction form
    10,323.25/15,491.25 = 4,082.20/x
  3. Step 3: Cross multiply
    10,323.25x = 15,491.25 × 4,082.20
  4. Step 4: Simplify right side
    10,323.25x = 63,238,342.02
  5. Step 5: Solve for x
    x = 63,238,342.02/10,323.25
  6. Step 6: Final answer
    x = 6,125.82

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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.