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Finding the Fourth Proportional to 10,129.90, 15,194.84 and 5,196.78

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Solution

The fourth proportional to 10,129.90, 15,194.84 and 5,196.78 is: 7,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.90 : 15,194.84 = 5,196.78 : x
  2. Step 2: Convert to fraction form
    10,129.90/15,194.84 = 5,196.78/x
  3. Step 3: Cross multiply
    10,129.90x = 15,194.84 × 5,196.78
  4. Step 4: Simplify right side
    10,129.90x = 78,964,240.62
  5. Step 5: Solve for x
    x = 78,964,240.62/10,129.90
  6. Step 6: Final answer
    x = 7,795.16

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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.