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Finding the Fourth Proportional to 12,810.72, 17,679.15 and 7,505.76

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Solution

The fourth proportional to 12,810.72, 17,679.15 and 7,505.76 is: 10,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,810.72 : 17,679.15 = 7,505.76 : x
  2. Step 2: Convert to fraction form
    12,810.72/17,679.15 = 7,505.76/x
  3. Step 3: Cross multiply
    12,810.72x = 17,679.15 × 7,505.76
  4. Step 4: Simplify right side
    12,810.72x = 132,695,456.90
  5. Step 5: Solve for x
    x = 132,695,456.90/12,810.72
  6. Step 6: Final answer
    x = 10,358.16

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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.