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Finding the Fourth Proportional to 10,097.90, 15,149.93 and 5,171.02

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Solution

The fourth proportional to 10,097.90, 15,149.93 and 5,171.02 is: 7,758.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.90 : 15,149.93 = 5,171.02 : x
  2. Step 2: Convert to fraction form
    10,097.90/15,149.93 = 5,171.02/x
  3. Step 3: Cross multiply
    10,097.90x = 15,149.93 × 5,171.02
  4. Step 4: Simplify right side
    10,097.90x = 78,340,566.08
  5. Step 5: Solve for x
    x = 78,340,566.08/10,097.90
  6. Step 6: Final answer
    x = 7,758.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.