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Finding the Fourth Proportional to 10,042.38, 15,044.12 and 4,851.90

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Solution

The fourth proportional to 10,042.38, 15,044.12 and 4,851.90 is: 7,268.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,042.38 : 15,044.12 = 4,851.90 : x
  2. Step 2: Convert to fraction form
    10,042.38/15,044.12 = 4,851.90/x
  3. Step 3: Cross multiply
    10,042.38x = 15,044.12 × 4,851.90
  4. Step 4: Simplify right side
    10,042.38x = 72,992,565.83
  5. Step 5: Solve for x
    x = 72,992,565.83/10,042.38
  6. Step 6: Final answer
    x = 7,268.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.