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Finding the Fourth Proportional to 8,156.47, 12,239.32 and 3,475.99

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Solution

The fourth proportional to 8,156.47, 12,239.32 and 3,475.99 is: 5,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.47 : 12,239.32 = 3,475.99 : x
  2. Step 2: Convert to fraction form
    8,156.47/12,239.32 = 3,475.99/x
  3. Step 3: Cross multiply
    8,156.47x = 12,239.32 × 3,475.99
  4. Step 4: Simplify right side
    8,156.47x = 42,543,714.64
  5. Step 5: Solve for x
    x = 42,543,714.64/8,156.47
  6. Step 6: Final answer
    x = 5,215.95

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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.