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Finding the Fourth Proportional to 10,381.55, 15,575.31 and 5,118.14

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Solution

The fourth proportional to 10,381.55, 15,575.31 and 5,118.14 is: 7,678.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.55 : 15,575.31 = 5,118.14 : x
  2. Step 2: Convert to fraction form
    10,381.55/15,575.31 = 5,118.14/x
  3. Step 3: Cross multiply
    10,381.55x = 15,575.31 × 5,118.14
  4. Step 4: Simplify right side
    10,381.55x = 79,716,539.25
  5. Step 5: Solve for x
    x = 79,716,539.25/10,381.55
  6. Step 6: Final answer
    x = 7,678.68

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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.