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Finding the Fourth Proportional to 10,861.98, 14,987.07 and 6,144.54

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Solution

The fourth proportional to 10,861.98, 14,987.07 and 6,144.54 is: 8,478.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,861.98 : 14,987.07 = 6,144.54 : x
  2. Step 2: Convert to fraction form
    10,861.98/14,987.07 = 6,144.54/x
  3. Step 3: Cross multiply
    10,861.98x = 14,987.07 × 6,144.54
  4. Step 4: Simplify right side
    10,861.98x = 92,088,651.10
  5. Step 5: Solve for x
    x = 92,088,651.10/10,861.98
  6. Step 6: Final answer
    x = 8,478.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.