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Finding the Fourth Proportional to 7,641.06, 11,465.82 and 4,131

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Solution

The fourth proportional to 7,641.06, 11,465.82 and 4,131 is: 6,198.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.06 : 11,465.82 = 4,131 : x
  2. Step 2: Convert to fraction form
    7,641.06/11,465.82 = 4,131/x
  3. Step 3: Cross multiply
    7,641.06x = 11,465.82 × 4,131
  4. Step 4: Simplify right side
    7,641.06x = 47,365,302.42
  5. Step 5: Solve for x
    x = 47,365,302.42/7,641.06
  6. Step 6: Final answer
    x = 6,198.79

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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.