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Finding the Fourth Proportional to 7,498.97, 10,348.52 and 4,142.02

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Solution

The fourth proportional to 7,498.97, 10,348.52 and 4,142.02 is: 5,715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.97 : 10,348.52 = 4,142.02 : x
  2. Step 2: Convert to fraction form
    7,498.97/10,348.52 = 4,142.02/x
  3. Step 3: Cross multiply
    7,498.97x = 10,348.52 × 4,142.02
  4. Step 4: Simplify right side
    7,498.97x = 42,863,719.89
  5. Step 5: Solve for x
    x = 42,863,719.89/7,498.97
  6. Step 6: Final answer
    x = 5,715.95

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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.