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Finding the Fourth Proportional to 8,841, 12,201.60 and 5,306.16

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Solution

The fourth proportional to 8,841, 12,201.60 and 5,306.16 is: 7,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,841 : 12,201.60 = 5,306.16 : x
  2. Step 2: Convert to fraction form
    8,841/12,201.60 = 5,306.16/x
  3. Step 3: Cross multiply
    8,841x = 12,201.60 × 5,306.16
  4. Step 4: Simplify right side
    8,841x = 64,743,641.86
  5. Step 5: Solve for x
    x = 64,743,641.86/8,841
  6. Step 6: Final answer
    x = 7,323.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.