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Finding the Fourth Proportional to 7,596.78, 11,395.58 and 2,402.25

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Solution

The fourth proportional to 7,596.78, 11,395.58 and 2,402.25 is: 3,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.78 : 11,395.58 = 2,402.25 : x
  2. Step 2: Convert to fraction form
    7,596.78/11,395.58 = 2,402.25/x
  3. Step 3: Cross multiply
    7,596.78x = 11,395.58 × 2,402.25
  4. Step 4: Simplify right side
    7,596.78x = 27,375,020.04
  5. Step 5: Solve for x
    x = 27,375,020.04/7,596.78
  6. Step 6: Final answer
    x = 3,603.50

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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.