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Finding the Fourth Proportional to 8,378.51, 12,568.16 and 2,535.17

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Solution

The fourth proportional to 8,378.51, 12,568.16 and 2,535.17 is: 3,802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.51 : 12,568.16 = 2,535.17 : x
  2. Step 2: Convert to fraction form
    8,378.51/12,568.16 = 2,535.17/x
  3. Step 3: Cross multiply
    8,378.51x = 12,568.16 × 2,535.17
  4. Step 4: Simplify right side
    8,378.51x = 31,862,365.68
  5. Step 5: Solve for x
    x = 31,862,365.68/8,378.51
  6. Step 6: Final answer
    x = 3,802.87

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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.