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Finding the Fourth Proportional to 10,097.66, 15,146.56 and 3,523.82

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Solution

The fourth proportional to 10,097.66, 15,146.56 and 3,523.82 is: 5,285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.66 : 15,146.56 = 3,523.82 : x
  2. Step 2: Convert to fraction form
    10,097.66/15,146.56 = 3,523.82/x
  3. Step 3: Cross multiply
    10,097.66x = 15,146.56 × 3,523.82
  4. Step 4: Simplify right side
    10,097.66x = 53,373,751.06
  5. Step 5: Solve for x
    x = 53,373,751.06/10,097.66
  6. Step 6: Final answer
    x = 5,285.75

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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.