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Finding the Fourth Proportional to 10,295.28, 14,207.14 and 6,046.26

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Solution

The fourth proportional to 10,295.28, 14,207.14 and 6,046.26 is: 8,343.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.28 : 14,207.14 = 6,046.26 : x
  2. Step 2: Convert to fraction form
    10,295.28/14,207.14 = 6,046.26/x
  3. Step 3: Cross multiply
    10,295.28x = 14,207.14 × 6,046.26
  4. Step 4: Simplify right side
    10,295.28x = 85,900,062.30
  5. Step 5: Solve for x
    x = 85,900,062.30/10,295.28
  6. Step 6: Final answer
    x = 8,343.64

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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.