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Finding the Fourth Proportional to 7,894.60, 11,841.86 and 3,735.04

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Solution

The fourth proportional to 7,894.60, 11,841.86 and 3,735.04 is: 5,602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.60 : 11,841.86 = 3,735.04 : x
  2. Step 2: Convert to fraction form
    7,894.60/11,841.86 = 3,735.04/x
  3. Step 3: Cross multiply
    7,894.60x = 11,841.86 × 3,735.04
  4. Step 4: Simplify right side
    7,894.60x = 44,229,820.77
  5. Step 5: Solve for x
    x = 44,229,820.77/7,894.60
  6. Step 6: Final answer
    x = 5,602.54

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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.