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Finding the Fourth Proportional to 11,542.68, 15,931.62 and 7,348.50

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Solution

The fourth proportional to 11,542.68, 15,931.62 and 7,348.50 is: 10,142.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.68 : 15,931.62 = 7,348.50 : x
  2. Step 2: Convert to fraction form
    11,542.68/15,931.62 = 7,348.50/x
  3. Step 3: Cross multiply
    11,542.68x = 15,931.62 × 7,348.50
  4. Step 4: Simplify right side
    11,542.68x = 117,073,509.57
  5. Step 5: Solve for x
    x = 117,073,509.57/11,542.68
  6. Step 6: Final answer
    x = 10,142.66

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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.