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Finding the Fourth Proportional to 8,691.24, 13,054.34 and 5,188.10

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Solution

The fourth proportional to 8,691.24, 13,054.34 and 5,188.10 is: 7,792.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.24 : 13,054.34 = 5,188.10 : x
  2. Step 2: Convert to fraction form
    8,691.24/13,054.34 = 5,188.10/x
  3. Step 3: Cross multiply
    8,691.24x = 13,054.34 × 5,188.10
  4. Step 4: Simplify right side
    8,691.24x = 67,727,221.35
  5. Step 5: Solve for x
    x = 67,727,221.35/8,691.24
  6. Step 6: Final answer
    x = 7,792.58

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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.