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Finding the Fourth Proportional to 10,196.54, 15,294.86 and 2,801.04

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Solution

The fourth proportional to 10,196.54, 15,294.86 and 2,801.04 is: 4,201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,196.54 : 15,294.86 = 2,801.04 : x
  2. Step 2: Convert to fraction form
    10,196.54/15,294.86 = 2,801.04/x
  3. Step 3: Cross multiply
    10,196.54x = 15,294.86 × 2,801.04
  4. Step 4: Simplify right side
    10,196.54x = 42,841,514.65
  5. Step 5: Solve for x
    x = 42,841,514.65/10,196.54
  6. Step 6: Final answer
    x = 4,201.57

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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.