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Finding the Fourth Proportional to 11,649.87, 17,470.55 and 4,252.14

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Solution

The fourth proportional to 11,649.87, 17,470.55 and 4,252.14 is: 6,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,649.87 : 17,470.55 = 4,252.14 : x
  2. Step 2: Convert to fraction form
    11,649.87/17,470.55 = 4,252.14/x
  3. Step 3: Cross multiply
    11,649.87x = 17,470.55 × 4,252.14
  4. Step 4: Simplify right side
    11,649.87x = 74,287,235.11
  5. Step 5: Solve for x
    x = 74,287,235.11/11,649.87
  6. Step 6: Final answer
    x = 6,376.66

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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.