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Finding the Fourth Proportional to 7,592.29, 11,393.58 and 2,662

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Solution

The fourth proportional to 7,592.29, 11,393.58 and 2,662 is: 3,994.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.29 : 11,393.58 = 2,662 : x
  2. Step 2: Convert to fraction form
    7,592.29/11,393.58 = 2,662/x
  3. Step 3: Cross multiply
    7,592.29x = 11,393.58 × 2,662
  4. Step 4: Simplify right side
    7,592.29x = 30,329,709.96
  5. Step 5: Solve for x
    x = 30,329,709.96/7,592.29
  6. Step 6: Final answer
    x = 3,994.80

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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.