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Finding the Fourth Proportional to 10,408.62, 15,618.06 and 4,861.16

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Solution

The fourth proportional to 10,408.62, 15,618.06 and 4,861.16 is: 7,294.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.62 : 15,618.06 = 4,861.16 : x
  2. Step 2: Convert to fraction form
    10,408.62/15,618.06 = 4,861.16/x
  3. Step 3: Cross multiply
    10,408.62x = 15,618.06 × 4,861.16
  4. Step 4: Simplify right side
    10,408.62x = 75,921,888.55
  5. Step 5: Solve for x
    x = 75,921,888.55/10,408.62
  6. Step 6: Final answer
    x = 7,294.14

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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.