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Finding the Fourth Proportional to 7,641.32, 11,462.18 and 2,447.19

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Solution

The fourth proportional to 7,641.32, 11,462.18 and 2,447.19 is: 3,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.32 : 11,462.18 = 2,447.19 : x
  2. Step 2: Convert to fraction form
    7,641.32/11,462.18 = 2,447.19/x
  3. Step 3: Cross multiply
    7,641.32x = 11,462.18 × 2,447.19
  4. Step 4: Simplify right side
    7,641.32x = 28,050,120.04
  5. Step 5: Solve for x
    x = 28,050,120.04/7,641.32
  6. Step 6: Final answer
    x = 3,670.85

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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.