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Finding the Fourth Proportional to 8,225.34, 12,327.27 and 7,182.87

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Solution

The fourth proportional to 8,225.34, 12,327.27 and 7,182.87 is: 10,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.34 : 12,327.27 = 7,182.87 : x
  2. Step 2: Convert to fraction form
    8,225.34/12,327.27 = 7,182.87/x
  3. Step 3: Cross multiply
    8,225.34x = 12,327.27 × 7,182.87
  4. Step 4: Simplify right side
    8,225.34x = 88,545,177.86
  5. Step 5: Solve for x
    x = 88,545,177.86/8,225.34
  6. Step 6: Final answer
    x = 10,764.93

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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.