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Finding the Fourth Proportional to 10,097.76, 15,145.55 and 3,524.07

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Solution

The fourth proportional to 10,097.76, 15,145.55 and 3,524.07 is: 5,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,097.76 : 15,145.55 = 3,524.07 : x
  2. Step 2: Convert to fraction form
    10,097.76/15,145.55 = 3,524.07/x
  3. Step 3: Cross multiply
    10,097.76x = 15,145.55 × 3,524.07
  4. Step 4: Simplify right side
    10,097.76x = 53,373,902.66
  5. Step 5: Solve for x
    x = 53,373,902.66/10,097.76
  6. Step 6: Final answer
    x = 5,285.72

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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.