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Finding the Fourth Proportional to 7,348, 11,026.32 and 3,244

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Solution

The fourth proportional to 7,348, 11,026.32 and 3,244 is: 4,867.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348 : 11,026.32 = 3,244 : x
  2. Step 2: Convert to fraction form
    7,348/11,026.32 = 3,244/x
  3. Step 3: Cross multiply
    7,348x = 11,026.32 × 3,244
  4. Step 4: Simplify right side
    7,348x = 35,769,382.08
  5. Step 5: Solve for x
    x = 35,769,382.08/7,348
  6. Step 6: Final answer
    x = 4,867.91

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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.