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Finding the Fourth Proportional to 7,584, 10,467 and 7,251.90

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Solution

The fourth proportional to 7,584, 10,467 and 7,251.90 is: 10,008.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,584 : 10,467 = 7,251.90 : x
  2. Step 2: Convert to fraction form
    7,584/10,467 = 7,251.90/x
  3. Step 3: Cross multiply
    7,584x = 10,467 × 7,251.90
  4. Step 4: Simplify right side
    7,584x = 75,905,637.30
  5. Step 5: Solve for x
    x = 75,905,637.30/7,584
  6. Step 6: Final answer
    x = 10,008.65

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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.