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Finding the Fourth Proportional to 11,082.83, 16,613.51 and 7,123.01

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Solution

The fourth proportional to 11,082.83, 16,613.51 and 7,123.01 is: 10,677.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.83 : 16,613.51 = 7,123.01 : x
  2. Step 2: Convert to fraction form
    11,082.83/16,613.51 = 7,123.01/x
  3. Step 3: Cross multiply
    11,082.83x = 16,613.51 × 7,123.01
  4. Step 4: Simplify right side
    11,082.83x = 118,338,079.18
  5. Step 5: Solve for x
    x = 118,338,079.18/11,082.83
  6. Step 6: Final answer
    x = 10,677.61

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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.