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Finding the Fourth Proportional to 11,082.34, 16,582.20 and 6,642.46

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Solution

The fourth proportional to 11,082.34, 16,582.20 and 6,642.46 is: 9,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,082.34 : 16,582.20 = 6,642.46 : x
  2. Step 2: Convert to fraction form
    11,082.34/16,582.20 = 6,642.46/x
  3. Step 3: Cross multiply
    11,082.34x = 16,582.20 × 6,642.46
  4. Step 4: Simplify right side
    11,082.34x = 110,146,600.21
  5. Step 5: Solve for x
    x = 110,146,600.21/11,082.34
  6. Step 6: Final answer
    x = 9,938.93

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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.