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Finding the Fourth Proportional to 11,074.60, 15,301.38 and 8,734.60

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Solution

The fourth proportional to 11,074.60, 15,301.38 and 8,734.60 is: 12,068.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.60 : 15,301.38 = 8,734.60 : x
  2. Step 2: Convert to fraction form
    11,074.60/15,301.38 = 8,734.60/x
  3. Step 3: Cross multiply
    11,074.60x = 15,301.38 × 8,734.60
  4. Step 4: Simplify right side
    11,074.60x = 133,651,433.75
  5. Step 5: Solve for x
    x = 133,651,433.75/11,074.60
  6. Step 6: Final answer
    x = 12,068.29

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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.