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Finding the Fourth Proportional to 10,381.42, 15,559.17 and 5,188.78

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Solution

The fourth proportional to 10,381.42, 15,559.17 and 5,188.78 is: 7,776.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.42 : 15,559.17 = 5,188.78 : x
  2. Step 2: Convert to fraction form
    10,381.42/15,559.17 = 5,188.78/x
  3. Step 3: Cross multiply
    10,381.42x = 15,559.17 × 5,188.78
  4. Step 4: Simplify right side
    10,381.42x = 80,733,110.11
  5. Step 5: Solve for x
    x = 80,733,110.11/10,381.42
  6. Step 6: Final answer
    x = 7,776.69

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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.