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Finding the Fourth Proportional to 8,784.97, 13,176.48 and 2,211.16

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Solution

The fourth proportional to 8,784.97, 13,176.48 and 2,211.16 is: 3,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.97 : 13,176.48 = 2,211.16 : x
  2. Step 2: Convert to fraction form
    8,784.97/13,176.48 = 2,211.16/x
  3. Step 3: Cross multiply
    8,784.97x = 13,176.48 × 2,211.16
  4. Step 4: Simplify right side
    8,784.97x = 29,135,239.63
  5. Step 5: Solve for x
    x = 29,135,239.63/8,784.97
  6. Step 6: Final answer
    x = 3,316.49

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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.