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Finding the Fourth Proportional to 7,142.68, 10,710.51 and 2,981.44

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Solution

The fourth proportional to 7,142.68, 10,710.51 and 2,981.44 is: 4,470.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.68 : 10,710.51 = 2,981.44 : x
  2. Step 2: Convert to fraction form
    7,142.68/10,710.51 = 2,981.44/x
  3. Step 3: Cross multiply
    7,142.68x = 10,710.51 × 2,981.44
  4. Step 4: Simplify right side
    7,142.68x = 31,932,742.93
  5. Step 5: Solve for x
    x = 31,932,742.93/7,142.68
  6. Step 6: Final answer
    x = 4,470.69

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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.