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Finding the Fourth Proportional to 7,544, 11,317.28 and 2,348.84

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Solution

The fourth proportional to 7,544, 11,317.28 and 2,348.84 is: 3,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,544 : 11,317.28 = 2,348.84 : x
  2. Step 2: Convert to fraction form
    7,544/11,317.28 = 2,348.84/x
  3. Step 3: Cross multiply
    7,544x = 11,317.28 × 2,348.84
  4. Step 4: Simplify right side
    7,544x = 26,582,479.96
  5. Step 5: Solve for x
    x = 26,582,479.96/7,544
  6. Step 6: Final answer
    x = 3,523.66

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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.