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Finding the Fourth Proportional to 8,932.50, 12,327.48 and 5,156.82

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Solution

The fourth proportional to 8,932.50, 12,327.48 and 5,156.82 is: 7,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,932.50 : 12,327.48 = 5,156.82 : x
  2. Step 2: Convert to fraction form
    8,932.50/12,327.48 = 5,156.82/x
  3. Step 3: Cross multiply
    8,932.50x = 12,327.48 × 5,156.82
  4. Step 4: Simplify right side
    8,932.50x = 63,570,595.41
  5. Step 5: Solve for x
    x = 63,570,595.41/8,932.50
  6. Step 6: Final answer
    x = 7,116.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.