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Finding the Fourth Proportional to 10,486.07, 15,691.41 and 7,705.84

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Solution

The fourth proportional to 10,486.07, 15,691.41 and 7,705.84 is: 11,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.07 : 15,691.41 = 7,705.84 : x
  2. Step 2: Convert to fraction form
    10,486.07/15,691.41 = 7,705.84/x
  3. Step 3: Cross multiply
    10,486.07x = 15,691.41 × 7,705.84
  4. Step 4: Simplify right side
    10,486.07x = 120,915,494.83
  5. Step 5: Solve for x
    x = 120,915,494.83/10,486.07
  6. Step 6: Final answer
    x = 11,531.06

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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.