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Finding the Fourth Proportional to 8,378.40, 12,568.95 and 2,832.07

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Solution

The fourth proportional to 8,378.40, 12,568.95 and 2,832.07 is: 4,248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.40 : 12,568.95 = 2,832.07 : x
  2. Step 2: Convert to fraction form
    8,378.40/12,568.95 = 2,832.07/x
  3. Step 3: Cross multiply
    8,378.40x = 12,568.95 × 2,832.07
  4. Step 4: Simplify right side
    8,378.40x = 35,596,146.23
  5. Step 5: Solve for x
    x = 35,596,146.23/8,378.40
  6. Step 6: Final answer
    x = 4,248.56

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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.