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Finding the Fourth Proportional to 10,617.72, 14,659.20 and 7,266.12

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Solution

The fourth proportional to 10,617.72, 14,659.20 and 7,266.12 is: 10,031.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.72 : 14,659.20 = 7,266.12 : x
  2. Step 2: Convert to fraction form
    10,617.72/14,659.20 = 7,266.12/x
  3. Step 3: Cross multiply
    10,617.72x = 14,659.20 × 7,266.12
  4. Step 4: Simplify right side
    10,617.72x = 106,515,506.30
  5. Step 5: Solve for x
    x = 106,515,506.30/10,617.72
  6. Step 6: Final answer
    x = 10,031.86

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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.