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Finding the Fourth Proportional to 10,296.72, 14,207.09 and 6,047.57

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Solution

The fourth proportional to 10,296.72, 14,207.09 and 6,047.57 is: 8,344.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.72 : 14,207.09 = 6,047.57 : x
  2. Step 2: Convert to fraction form
    10,296.72/14,207.09 = 6,047.57/x
  3. Step 3: Cross multiply
    10,296.72x = 14,207.09 × 6,047.57
  4. Step 4: Simplify right side
    10,296.72x = 85,918,371.27
  5. Step 5: Solve for x
    x = 85,918,371.27/10,296.72
  6. Step 6: Final answer
    x = 8,344.25

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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.