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Finding the Fourth Proportional to 7,902.93, 11,851.84 and 4,394.61

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Solution

The fourth proportional to 7,902.93, 11,851.84 and 4,394.61 is: 6,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.93 : 11,851.84 = 4,394.61 : x
  2. Step 2: Convert to fraction form
    7,902.93/11,851.84 = 4,394.61/x
  3. Step 3: Cross multiply
    7,902.93x = 11,851.84 × 4,394.61
  4. Step 4: Simplify right side
    7,902.93x = 52,084,214.58
  5. Step 5: Solve for x
    x = 52,084,214.58/7,902.93
  6. Step 6: Final answer
    x = 6,590.49

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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.