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Finding the Fourth Proportional to 10,065.74, 13,890.87 and 6,086.15

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Solution

The fourth proportional to 10,065.74, 13,890.87 and 6,086.15 is: 8,398.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,065.74 : 13,890.87 = 6,086.15 : x
  2. Step 2: Convert to fraction form
    10,065.74/13,890.87 = 6,086.15/x
  3. Step 3: Cross multiply
    10,065.74x = 13,890.87 × 6,086.15
  4. Step 4: Simplify right side
    10,065.74x = 84,541,918.45
  5. Step 5: Solve for x
    x = 84,541,918.45/10,065.74
  6. Step 6: Final answer
    x = 8,398.98

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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.