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Finding the Fourth Proportional to 8,156.04, 12,234.90 and 4,463.64

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Solution

The fourth proportional to 8,156.04, 12,234.90 and 4,463.64 is: 6,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.04 : 12,234.90 = 4,463.64 : x
  2. Step 2: Convert to fraction form
    8,156.04/12,234.90 = 4,463.64/x
  3. Step 3: Cross multiply
    8,156.04x = 12,234.90 × 4,463.64
  4. Step 4: Simplify right side
    8,156.04x = 54,612,189.04
  5. Step 5: Solve for x
    x = 54,612,189.04/8,156.04
  6. Step 6: Final answer
    x = 6,695.92

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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.