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Finding the Fourth Proportional to 11,102.90, 16,635.15 and 9,374.90

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Solution

The fourth proportional to 11,102.90, 16,635.15 and 9,374.90 is: 14,046.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.90 : 16,635.15 = 9,374.90 : x
  2. Step 2: Convert to fraction form
    11,102.90/16,635.15 = 9,374.90/x
  3. Step 3: Cross multiply
    11,102.90x = 16,635.15 × 9,374.90
  4. Step 4: Simplify right side
    11,102.90x = 155,952,867.74
  5. Step 5: Solve for x
    x = 155,952,867.74/11,102.90
  6. Step 6: Final answer
    x = 14,046.14

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Why These Related Problems?

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