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Finding the Fourth Proportional to 10,296.72, 14,207.13 and 6,711.26

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Solution

The fourth proportional to 10,296.72, 14,207.13 and 6,711.26 is: 9,260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.72 : 14,207.13 = 6,711.26 : x
  2. Step 2: Convert to fraction form
    10,296.72/14,207.13 = 6,711.26/x
  3. Step 3: Cross multiply
    10,296.72x = 14,207.13 × 6,711.26
  4. Step 4: Simplify right side
    10,296.72x = 95,347,672.25
  5. Step 5: Solve for x
    x = 95,347,672.25/10,296.72
  6. Step 6: Final answer
    x = 9,260.00

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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.