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Finding the Fourth Proportional to 10,408.96, 15,613.44 and 3,484

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Solution

The fourth proportional to 10,408.96, 15,613.44 and 3,484 is: 5,226.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,408.96 : 15,613.44 = 3,484 : x
  2. Step 2: Convert to fraction form
    10,408.96/15,613.44 = 3,484/x
  3. Step 3: Cross multiply
    10,408.96x = 15,613.44 × 3,484
  4. Step 4: Simplify right side
    10,408.96x = 54,397,224.96
  5. Step 5: Solve for x
    x = 54,397,224.96/10,408.96
  6. Step 6: Final answer
    x = 5,226.00

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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.