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Finding the Fourth Proportional to 12,061.56, 16,648.29 and 7,869

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Solution

The fourth proportional to 12,061.56, 16,648.29 and 7,869 is: 10,861.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,061.56 : 16,648.29 = 7,869 : x
  2. Step 2: Convert to fraction form
    12,061.56/16,648.29 = 7,869/x
  3. Step 3: Cross multiply
    12,061.56x = 16,648.29 × 7,869
  4. Step 4: Simplify right side
    12,061.56x = 131,005,394.01
  5. Step 5: Solve for x
    x = 131,005,394.01/12,061.56
  6. Step 6: Final answer
    x = 10,861.40

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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.