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Finding the Fourth Proportional to 10,416.42, 15,624.81 and 3,839.22

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Solution

The fourth proportional to 10,416.42, 15,624.81 and 3,839.22 is: 5,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.42 : 15,624.81 = 3,839.22 : x
  2. Step 2: Convert to fraction form
    10,416.42/15,624.81 = 3,839.22/x
  3. Step 3: Cross multiply
    10,416.42x = 15,624.81 × 3,839.22
  4. Step 4: Simplify right side
    10,416.42x = 59,987,083.05
  5. Step 5: Solve for x
    x = 59,987,083.05/10,416.42
  6. Step 6: Final answer
    x = 5,758.90

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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.