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Finding the Fourth Proportional to 8,711.46, 12,023.74 and 5,357.12

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Solution

The fourth proportional to 8,711.46, 12,023.74 and 5,357.12 is: 7,394.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.46 : 12,023.74 = 5,357.12 : x
  2. Step 2: Convert to fraction form
    8,711.46/12,023.74 = 5,357.12/x
  3. Step 3: Cross multiply
    8,711.46x = 12,023.74 × 5,357.12
  4. Step 4: Simplify right side
    8,711.46x = 64,412,618.03
  5. Step 5: Solve for x
    x = 64,412,618.03/8,711.46
  6. Step 6: Final answer
    x = 7,394.01

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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.