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Finding the Fourth Proportional to 10,578.24, 15,868.14 and 2,787

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Solution

The fourth proportional to 10,578.24, 15,868.14 and 2,787 is: 4,180.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.24 : 15,868.14 = 2,787 : x
  2. Step 2: Convert to fraction form
    10,578.24/15,868.14 = 2,787/x
  3. Step 3: Cross multiply
    10,578.24x = 15,868.14 × 2,787
  4. Step 4: Simplify right side
    10,578.24x = 44,224,506.18
  5. Step 5: Solve for x
    x = 44,224,506.18/10,578.24
  6. Step 6: Final answer
    x = 4,180.71

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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.