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Finding the Fourth Proportional to 8,118.64, 12,182.74 and 5,156.96

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Solution

The fourth proportional to 8,118.64, 12,182.74 and 5,156.96 is: 7,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,118.64 : 12,182.74 = 5,156.96 : x
  2. Step 2: Convert to fraction form
    8,118.64/12,182.74 = 5,156.96/x
  3. Step 3: Cross multiply
    8,118.64x = 12,182.74 × 5,156.96
  4. Step 4: Simplify right side
    8,118.64x = 62,825,829.06
  5. Step 5: Solve for x
    x = 62,825,829.06/8,118.64
  6. Step 6: Final answer
    x = 7,738.47

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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.