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Finding the Fourth Proportional to 10,725.98, 16,071.17 and 7,590.44

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Solution

The fourth proportional to 10,725.98, 16,071.17 and 7,590.44 is: 11,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,725.98 : 16,071.17 = 7,590.44 : x
  2. Step 2: Convert to fraction form
    10,725.98/16,071.17 = 7,590.44/x
  3. Step 3: Cross multiply
    10,725.98x = 16,071.17 × 7,590.44
  4. Step 4: Simplify right side
    10,725.98x = 121,987,251.61
  5. Step 5: Solve for x
    x = 121,987,251.61/10,725.98
  6. Step 6: Final answer
    x = 11,373.06

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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.