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Finding the Fourth Proportional to 10,086.04, 13,915.04 and 6,105.70

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Solution

The fourth proportional to 10,086.04, 13,915.04 and 6,105.70 is: 8,423.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.04 : 13,915.04 = 6,105.70 : x
  2. Step 2: Convert to fraction form
    10,086.04/13,915.04 = 6,105.70/x
  3. Step 3: Cross multiply
    10,086.04x = 13,915.04 × 6,105.70
  4. Step 4: Simplify right side
    10,086.04x = 84,961,059.73
  5. Step 5: Solve for x
    x = 84,961,059.73/10,086.04
  6. Step 6: Final answer
    x = 8,423.63

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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.