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Finding the Fourth Proportional to 8,150.72, 12,216 and 4,643.66

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Solution

The fourth proportional to 8,150.72, 12,216 and 4,643.66 is: 6,959.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,150.72 : 12,216 = 4,643.66 : x
  2. Step 2: Convert to fraction form
    8,150.72/12,216 = 4,643.66/x
  3. Step 3: Cross multiply
    8,150.72x = 12,216 × 4,643.66
  4. Step 4: Simplify right side
    8,150.72x = 56,726,950.56
  5. Step 5: Solve for x
    x = 56,726,950.56/8,150.72
  6. Step 6: Final answer
    x = 6,959.75

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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.