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Finding the Fourth Proportional to 11,562.96, 15,953.16 and 7,082.04

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Solution

The fourth proportional to 11,562.96, 15,953.16 and 7,082.04 is: 9,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,562.96 : 15,953.16 = 7,082.04 : x
  2. Step 2: Convert to fraction form
    11,562.96/15,953.16 = 7,082.04/x
  3. Step 3: Cross multiply
    11,562.96x = 15,953.16 × 7,082.04
  4. Step 4: Simplify right side
    11,562.96x = 112,980,917.25
  5. Step 5: Solve for x
    x = 112,980,917.25/11,562.96
  6. Step 6: Final answer
    x = 9,770.93

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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.