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Finding the Fourth Proportional to 11,451.46, 15,802.14 and 6,414.52

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Solution

The fourth proportional to 11,451.46, 15,802.14 and 6,414.52 is: 8,851.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.46 : 15,802.14 = 6,414.52 : x
  2. Step 2: Convert to fraction form
    11,451.46/15,802.14 = 6,414.52/x
  3. Step 3: Cross multiply
    11,451.46x = 15,802.14 × 6,414.52
  4. Step 4: Simplify right side
    11,451.46x = 101,363,143.07
  5. Step 5: Solve for x
    x = 101,363,143.07/11,451.46
  6. Step 6: Final answer
    x = 8,851.55

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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.