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Finding the Fourth Proportional to 7,143.61, 10,715.41 and 3,249.13

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Solution

The fourth proportional to 7,143.61, 10,715.41 and 3,249.13 is: 4,873.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.61 : 10,715.41 = 3,249.13 : x
  2. Step 2: Convert to fraction form
    7,143.61/10,715.41 = 3,249.13/x
  3. Step 3: Cross multiply
    7,143.61x = 10,715.41 × 3,249.13
  4. Step 4: Simplify right side
    7,143.61x = 34,815,690.27
  5. Step 5: Solve for x
    x = 34,815,690.27/7,143.61
  6. Step 6: Final answer
    x = 4,873.69

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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.