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Finding the Fourth Proportional to 10,195.71, 15,291.84 and 2,798.45

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Solution

The fourth proportional to 10,195.71, 15,291.84 and 2,798.45 is: 4,197.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.71 : 15,291.84 = 2,798.45 : x
  2. Step 2: Convert to fraction form
    10,195.71/15,291.84 = 2,798.45/x
  3. Step 3: Cross multiply
    10,195.71x = 15,291.84 × 2,798.45
  4. Step 4: Simplify right side
    10,195.71x = 42,793,425.29
  5. Step 5: Solve for x
    x = 42,793,425.29/10,195.71
  6. Step 6: Final answer
    x = 4,197.20

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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.