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Finding the Fourth Proportional to 10,522.42, 15,772.54 and 3,500.56

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Solution

The fourth proportional to 10,522.42, 15,772.54 and 3,500.56 is: 5,247.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.42 : 15,772.54 = 3,500.56 : x
  2. Step 2: Convert to fraction form
    10,522.42/15,772.54 = 3,500.56/x
  3. Step 3: Cross multiply
    10,522.42x = 15,772.54 × 3,500.56
  4. Step 4: Simplify right side
    10,522.42x = 55,212,740.15
  5. Step 5: Solve for x
    x = 55,212,740.15/10,522.42
  6. Step 6: Final answer
    x = 5,247.15

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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.