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Finding the Fourth Proportional to 11,517.64, 15,894.84 and 6,482.68

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Solution

The fourth proportional to 11,517.64, 15,894.84 and 6,482.68 is: 8,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,517.64 : 15,894.84 = 6,482.68 : x
  2. Step 2: Convert to fraction form
    11,517.64/15,894.84 = 6,482.68/x
  3. Step 3: Cross multiply
    11,517.64x = 15,894.84 × 6,482.68
  4. Step 4: Simplify right side
    11,517.64x = 103,041,161.37
  5. Step 5: Solve for x
    x = 103,041,161.37/11,517.64
  6. Step 6: Final answer
    x = 8,946.38

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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.