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Finding the Fourth Proportional to 11,616.72, 16,032.16 and 6,581.18

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Solution

The fourth proportional to 11,616.72, 16,032.16 and 6,581.18 is: 9,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.72 : 16,032.16 = 6,581.18 : x
  2. Step 2: Convert to fraction form
    11,616.72/16,032.16 = 6,581.18/x
  3. Step 3: Cross multiply
    11,616.72x = 16,032.16 × 6,581.18
  4. Step 4: Simplify right side
    11,616.72x = 105,510,530.75
  5. Step 5: Solve for x
    x = 105,510,530.75/11,616.72
  6. Step 6: Final answer
    x = 9,082.64

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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.