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Finding the Fourth Proportional to 7,256.50, 10,886.32 and 2,258.78

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Solution

The fourth proportional to 7,256.50, 10,886.32 and 2,258.78 is: 3,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,256.50 : 10,886.32 = 2,258.78 : x
  2. Step 2: Convert to fraction form
    7,256.50/10,886.32 = 2,258.78/x
  3. Step 3: Cross multiply
    7,256.50x = 10,886.32 × 2,258.78
  4. Step 4: Simplify right side
    7,256.50x = 24,589,736.16
  5. Step 5: Solve for x
    x = 24,589,736.16/7,256.50
  6. Step 6: Final answer
    x = 3,388.65

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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.