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Finding the Fourth Proportional to 7,594, 11,391 and 2,400.04

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Solution

The fourth proportional to 7,594, 11,391 and 2,400.04 is: 3,600.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,594 : 11,391 = 2,400.04 : x
  2. Step 2: Convert to fraction form
    7,594/11,391 = 2,400.04/x
  3. Step 3: Cross multiply
    7,594x = 11,391 × 2,400.04
  4. Step 4: Simplify right side
    7,594x = 27,338,855.64
  5. Step 5: Solve for x
    x = 27,338,855.64/7,594
  6. Step 6: Final answer
    x = 3,600.06

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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.