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Finding the Fourth Proportional to 11,652.61, 17,478.91 and 3,861.42

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Solution

The fourth proportional to 11,652.61, 17,478.91 and 3,861.42 is: 5,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.61 : 17,478.91 = 3,861.42 : x
  2. Step 2: Convert to fraction form
    11,652.61/17,478.91 = 3,861.42/x
  3. Step 3: Cross multiply
    11,652.61x = 17,478.91 × 3,861.42
  4. Step 4: Simplify right side
    11,652.61x = 67,493,461.11
  5. Step 5: Solve for x
    x = 67,493,461.11/11,652.61
  6. Step 6: Final answer
    x = 5,792.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.