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Finding the Fourth Proportional to 7,894.96, 11,842.53 and 2,348.86

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Solution

The fourth proportional to 7,894.96, 11,842.53 and 2,348.86 is: 3,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.96 : 11,842.53 = 2,348.86 : x
  2. Step 2: Convert to fraction form
    7,894.96/11,842.53 = 2,348.86/x
  3. Step 3: Cross multiply
    7,894.96x = 11,842.53 × 2,348.86
  4. Step 4: Simplify right side
    7,894.96x = 27,816,445.02
  5. Step 5: Solve for x
    x = 27,816,445.02/7,894.96
  6. Step 6: Final answer
    x = 3,523.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.