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Finding the Fourth Proportional to 10,195.68, 15,290.64 and 3,618.30

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Solution

The fourth proportional to 10,195.68, 15,290.64 and 3,618.30 is: 5,426.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.68 : 15,290.64 = 3,618.30 : x
  2. Step 2: Convert to fraction form
    10,195.68/15,290.64 = 3,618.30/x
  3. Step 3: Cross multiply
    10,195.68x = 15,290.64 × 3,618.30
  4. Step 4: Simplify right side
    10,195.68x = 55,326,122.71
  5. Step 5: Solve for x
    x = 55,326,122.71/10,195.68
  6. Step 6: Final answer
    x = 5,426.43

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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.