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Finding the Fourth Proportional to 10,195.20, 15,278.40 and 4,032

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Solution

The fourth proportional to 10,195.20, 15,278.40 and 4,032 is: 6,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.20 : 15,278.40 = 4,032 : x
  2. Step 2: Convert to fraction form
    10,195.20/15,278.40 = 4,032/x
  3. Step 3: Cross multiply
    10,195.20x = 15,278.40 × 4,032
  4. Step 4: Simplify right side
    10,195.20x = 61,602,508.80
  5. Step 5: Solve for x
    x = 61,602,508.80/10,195.20
  6. Step 6: Final answer
    x = 6,042.31

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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.