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Finding the Fourth Proportional to 7,142.88, 10,711.62 and 3,444.24

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Solution

The fourth proportional to 7,142.88, 10,711.62 and 3,444.24 is: 5,165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.88 : 10,711.62 = 3,444.24 : x
  2. Step 2: Convert to fraction form
    7,142.88/10,711.62 = 3,444.24/x
  3. Step 3: Cross multiply
    7,142.88x = 10,711.62 × 3,444.24
  4. Step 4: Simplify right side
    7,142.88x = 36,893,390.07
  5. Step 5: Solve for x
    x = 36,893,390.07/7,142.88
  6. Step 6: Final answer
    x = 5,165.06

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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.