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Finding the Fourth Proportional to 10,400.57, 15,600.85 and 3,475.07

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Solution

The fourth proportional to 10,400.57, 15,600.85 and 3,475.07 is: 5,212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.57 : 15,600.85 = 3,475.07 : x
  2. Step 2: Convert to fraction form
    10,400.57/15,600.85 = 3,475.07/x
  3. Step 3: Cross multiply
    10,400.57x = 15,600.85 × 3,475.07
  4. Step 4: Simplify right side
    10,400.57x = 54,213,950.43
  5. Step 5: Solve for x
    x = 54,213,950.43/10,400.57
  6. Step 6: Final answer
    x = 5,212.60

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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.