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Finding the Fourth Proportional to 11,760.50, 17,643.45 and 5,098.12

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Solution

The fourth proportional to 11,760.50, 17,643.45 and 5,098.12 is: 7,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.50 : 17,643.45 = 5,098.12 : x
  2. Step 2: Convert to fraction form
    11,760.50/17,643.45 = 5,098.12/x
  3. Step 3: Cross multiply
    11,760.50x = 17,643.45 × 5,098.12
  4. Step 4: Simplify right side
    11,760.50x = 89,948,425.31
  5. Step 5: Solve for x
    x = 89,948,425.31/11,760.50
  6. Step 6: Final answer
    x = 7,648.35

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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.