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Finding the Fourth Proportional to 7,202.88, 10,808.57 and 3,042.61

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Solution

The fourth proportional to 7,202.88, 10,808.57 and 3,042.61 is: 4,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.88 : 10,808.57 = 3,042.61 : x
  2. Step 2: Convert to fraction form
    7,202.88/10,808.57 = 3,042.61/x
  3. Step 3: Cross multiply
    7,202.88x = 10,808.57 × 3,042.61
  4. Step 4: Simplify right side
    7,202.88x = 32,886,263.17
  5. Step 5: Solve for x
    x = 32,886,263.17/7,202.88
  6. Step 6: Final answer
    x = 4,565.71

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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.