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Finding the Fourth Proportional to 7,446.86, 11,170.29 and 4,155.02

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Solution

The fourth proportional to 7,446.86, 11,170.29 and 4,155.02 is: 6,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.86 : 11,170.29 = 4,155.02 : x
  2. Step 2: Convert to fraction form
    7,446.86/11,170.29 = 4,155.02/x
  3. Step 3: Cross multiply
    7,446.86x = 11,170.29 × 4,155.02
  4. Step 4: Simplify right side
    7,446.86x = 46,412,778.36
  5. Step 5: Solve for x
    x = 46,412,778.36/7,446.86
  6. Step 6: Final answer
    x = 6,232.53

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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.