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Finding the Fourth Proportional to 10,378.87, 15,568.07 and 2,587.68

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Solution

The fourth proportional to 10,378.87, 15,568.07 and 2,587.68 is: 3,881.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.87 : 15,568.07 = 2,587.68 : x
  2. Step 2: Convert to fraction form
    10,378.87/15,568.07 = 2,587.68/x
  3. Step 3: Cross multiply
    10,378.87x = 15,568.07 × 2,587.68
  4. Step 4: Simplify right side
    10,378.87x = 40,285,170.44
  5. Step 5: Solve for x
    x = 40,285,170.44/10,378.87
  6. Step 6: Final answer
    x = 3,881.46

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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.