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Finding the Fourth Proportional to 11,861.16, 17,778.05 and 4,460.90

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Solution

The fourth proportional to 11,861.16, 17,778.05 and 4,460.90 is: 6,686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.16 : 17,778.05 = 4,460.90 : x
  2. Step 2: Convert to fraction form
    11,861.16/17,778.05 = 4,460.90/x
  3. Step 3: Cross multiply
    11,861.16x = 17,778.05 × 4,460.90
  4. Step 4: Simplify right side
    11,861.16x = 79,306,103.25
  5. Step 5: Solve for x
    x = 79,306,103.25/11,861.16
  6. Step 6: Final answer
    x = 6,686.20

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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.