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Finding the Fourth Proportional to 10,310.64, 14,236.08 and 6,337.08

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Solution

The fourth proportional to 10,310.64, 14,236.08 and 6,337.08 is: 8,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.64 : 14,236.08 = 6,337.08 : x
  2. Step 2: Convert to fraction form
    10,310.64/14,236.08 = 6,337.08/x
  3. Step 3: Cross multiply
    10,310.64x = 14,236.08 × 6,337.08
  4. Step 4: Simplify right side
    10,310.64x = 90,215,177.85
  5. Step 5: Solve for x
    x = 90,215,177.85/10,310.64
  6. Step 6: Final answer
    x = 8,749.72

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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.