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Finding the Fourth Proportional to 7,744.66, 10,687.84 and 4,558.18

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Solution

The fourth proportional to 7,744.66, 10,687.84 and 4,558.18 is: 6,290.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.66 : 10,687.84 = 4,558.18 : x
  2. Step 2: Convert to fraction form
    7,744.66/10,687.84 = 4,558.18/x
  3. Step 3: Cross multiply
    7,744.66x = 10,687.84 × 4,558.18
  4. Step 4: Simplify right side
    7,744.66x = 48,717,098.53
  5. Step 5: Solve for x
    x = 48,717,098.53/7,744.66
  6. Step 6: Final answer
    x = 6,290.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.