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Finding the Fourth Proportional to 8,575.24, 12,840.90 and 8,366.20

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Solution

The fourth proportional to 8,575.24, 12,840.90 and 8,366.20 is: 12,527.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,575.24 : 12,840.90 = 8,366.20 : x
  2. Step 2: Convert to fraction form
    8,575.24/12,840.90 = 8,366.20/x
  3. Step 3: Cross multiply
    8,575.24x = 12,840.90 × 8,366.20
  4. Step 4: Simplify right side
    8,575.24x = 107,429,537.58
  5. Step 5: Solve for x
    x = 107,429,537.58/8,575.24
  6. Step 6: Final answer
    x = 12,527.88

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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.