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Finding the Fourth Proportional to 8,378.95, 12,568.44 and 2,830.81

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Solution

The fourth proportional to 8,378.95, 12,568.44 and 2,830.81 is: 4,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.95 : 12,568.44 = 2,830.81 : x
  2. Step 2: Convert to fraction form
    8,378.95/12,568.44 = 2,830.81/x
  3. Step 3: Cross multiply
    8,378.95x = 12,568.44 × 2,830.81
  4. Step 4: Simplify right side
    8,378.95x = 35,578,802.79
  5. Step 5: Solve for x
    x = 35,578,802.79/8,378.95
  6. Step 6: Final answer
    x = 4,246.22

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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.