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Finding the Fourth Proportional to 7,165.80, 10,748 and 2,232.74

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Solution

The fourth proportional to 7,165.80, 10,748 and 2,232.74 is: 3,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.80 : 10,748 = 2,232.74 : x
  2. Step 2: Convert to fraction form
    7,165.80/10,748 = 2,232.74/x
  3. Step 3: Cross multiply
    7,165.80x = 10,748 × 2,232.74
  4. Step 4: Simplify right side
    7,165.80x = 23,997,489.52
  5. Step 5: Solve for x
    x = 23,997,489.52/7,165.80
  6. Step 6: Final answer
    x = 3,348.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.