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Finding the Fourth Proportional to 10,097.97, 15,149.51 and 5,941.46

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Solution

The fourth proportional to 10,097.97, 15,149.51 and 5,941.46 is: 8,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.97 : 15,149.51 = 5,941.46 : x
  2. Step 2: Convert to fraction form
    10,097.97/15,149.51 = 5,941.46/x
  3. Step 3: Cross multiply
    10,097.97x = 15,149.51 × 5,941.46
  4. Step 4: Simplify right side
    10,097.97x = 90,010,102.23
  5. Step 5: Solve for x
    x = 90,010,102.23/10,097.97
  6. Step 6: Final answer
    x = 8,913.68

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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.