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Finding the Fourth Proportional to 7,445.86, 11,146.91 and 5,874.86

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Solution

The fourth proportional to 7,445.86, 11,146.91 and 5,874.86 is: 8,795.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.86 : 11,146.91 = 5,874.86 : x
  2. Step 2: Convert to fraction form
    7,445.86/11,146.91 = 5,874.86/x
  3. Step 3: Cross multiply
    7,445.86x = 11,146.91 × 5,874.86
  4. Step 4: Simplify right side
    7,445.86x = 65,486,535.68
  5. Step 5: Solve for x
    x = 65,486,535.68/7,445.86
  6. Step 6: Final answer
    x = 8,795.03

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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.