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Finding the Fourth Proportional to 10,578.80, 15,868.16 and 2,681.40

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Solution

The fourth proportional to 10,578.80, 15,868.16 and 2,681.40 is: 4,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,578.80 : 15,868.16 = 2,681.40 : x
  2. Step 2: Convert to fraction form
    10,578.80/15,868.16 = 2,681.40/x
  3. Step 3: Cross multiply
    10,578.80x = 15,868.16 × 2,681.40
  4. Step 4: Simplify right side
    10,578.80x = 42,548,884.22
  5. Step 5: Solve for x
    x = 42,548,884.22/10,578.80
  6. Step 6: Final answer
    x = 4,022.09

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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.