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Finding the Fourth Proportional to 8,351.28, 12,527.46 and 2,804.40

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Solution

The fourth proportional to 8,351.28, 12,527.46 and 2,804.40 is: 4,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.28 : 12,527.46 = 2,804.40 : x
  2. Step 2: Convert to fraction form
    8,351.28/12,527.46 = 2,804.40/x
  3. Step 3: Cross multiply
    8,351.28x = 12,527.46 × 2,804.40
  4. Step 4: Simplify right side
    8,351.28x = 35,132,008.82
  5. Step 5: Solve for x
    x = 35,132,008.82/8,351.28
  6. Step 6: Final answer
    x = 4,206.78

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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.