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Finding the Fourth Proportional to 10,394.31, 15,549.39 and 8,036.30

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Solution

The fourth proportional to 10,394.31, 15,549.39 and 8,036.30 is: 12,021.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,394.31 : 15,549.39 = 8,036.30 : x
  2. Step 2: Convert to fraction form
    10,394.31/15,549.39 = 8,036.30/x
  3. Step 3: Cross multiply
    10,394.31x = 15,549.39 × 8,036.30
  4. Step 4: Simplify right side
    10,394.31x = 124,959,485.11
  5. Step 5: Solve for x
    x = 124,959,485.11/10,394.31
  6. Step 6: Final answer
    x = 12,021.91

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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.