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Finding the Fourth Proportional to 10,086.71, 13,915.83 and 6,256.57

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Solution

The fourth proportional to 10,086.71, 13,915.83 and 6,256.57 is: 8,631.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,086.71 : 13,915.83 = 6,256.57 : x
  2. Step 2: Convert to fraction form
    10,086.71/13,915.83 = 6,256.57/x
  3. Step 3: Cross multiply
    10,086.71x = 13,915.83 × 6,256.57
  4. Step 4: Simplify right side
    10,086.71x = 87,065,364.50
  5. Step 5: Solve for x
    x = 87,065,364.50/10,086.71
  6. Step 6: Final answer
    x = 8,631.69

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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.