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Finding the Fourth Proportional to 10,086.46, 13,917.99 and 5,609.32

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Solution

The fourth proportional to 10,086.46, 13,917.99 and 5,609.32 is: 7,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.46 : 13,917.99 = 5,609.32 : x
  2. Step 2: Convert to fraction form
    10,086.46/13,917.99 = 5,609.32/x
  3. Step 3: Cross multiply
    10,086.46x = 13,917.99 × 5,609.32
  4. Step 4: Simplify right side
    10,086.46x = 78,070,459.67
  5. Step 5: Solve for x
    x = 78,070,459.67/10,086.46
  6. Step 6: Final answer
    x = 7,740.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.