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Finding the Fourth Proportional to 8,733.42, 13,036.72 and 8,082.92

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Solution

The fourth proportional to 8,733.42, 13,036.72 and 8,082.92 is: 12,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,733.42 : 13,036.72 = 8,082.92 : x
  2. Step 2: Convert to fraction form
    8,733.42/13,036.72 = 8,082.92/x
  3. Step 3: Cross multiply
    8,733.42x = 13,036.72 × 8,082.92
  4. Step 4: Simplify right side
    8,733.42x = 105,374,777.21
  5. Step 5: Solve for x
    x = 105,374,777.21/8,733.42
  6. Step 6: Final answer
    x = 12,065.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.