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Finding the Fourth Proportional to 8,575.32, 12,833.76 and 7,190.22

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Solution

The fourth proportional to 8,575.32, 12,833.76 and 7,190.22 is: 10,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.32 : 12,833.76 = 7,190.22 : x
  2. Step 2: Convert to fraction form
    8,575.32/12,833.76 = 7,190.22/x
  3. Step 3: Cross multiply
    8,575.32x = 12,833.76 × 7,190.22
  4. Step 4: Simplify right side
    8,575.32x = 92,277,557.83
  5. Step 5: Solve for x
    x = 92,277,557.83/8,575.32
  6. Step 6: Final answer
    x = 10,760.83

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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.