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Finding the Fourth Proportional to 12,711.42, 17,541.36 and 7,406.46

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Solution

The fourth proportional to 12,711.42, 17,541.36 and 7,406.46 is: 10,220.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.42 : 17,541.36 = 7,406.46 : x
  2. Step 2: Convert to fraction form
    12,711.42/17,541.36 = 7,406.46/x
  3. Step 3: Cross multiply
    12,711.42x = 17,541.36 × 7,406.46
  4. Step 4: Simplify right side
    12,711.42x = 129,919,381.19
  5. Step 5: Solve for x
    x = 129,919,381.19/12,711.42
  6. Step 6: Final answer
    x = 10,220.68

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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.