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Finding the Fourth Proportional to 12,578.40, 17,359.16 and 7,542.81

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Solution

The fourth proportional to 12,578.40, 17,359.16 and 7,542.81 is: 10,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578.40 : 17,359.16 = 7,542.81 : x
  2. Step 2: Convert to fraction form
    12,578.40/17,359.16 = 7,542.81/x
  3. Step 3: Cross multiply
    12,578.40x = 17,359.16 × 7,542.81
  4. Step 4: Simplify right side
    12,578.40x = 130,936,807.93
  5. Step 5: Solve for x
    x = 130,936,807.93/12,578.40
  6. Step 6: Final answer
    x = 10,409.66

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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.