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Finding the Fourth Proportional to 11,082.80, 16,613.40 and 9,916.40

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Solution

The fourth proportional to 11,082.80, 16,613.40 and 9,916.40 is: 14,864.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.80 : 16,613.40 = 9,916.40 : x
  2. Step 2: Convert to fraction form
    11,082.80/16,613.40 = 9,916.40/x
  3. Step 3: Cross multiply
    11,082.80x = 16,613.40 × 9,916.40
  4. Step 4: Simplify right side
    11,082.80x = 164,745,119.76
  5. Step 5: Solve for x
    x = 164,745,119.76/11,082.80
  6. Step 6: Final answer
    x = 14,864.94

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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.