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Finding the Fourth Proportional to 7,559.64, 11,324.34 and 6,002.28

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Solution

The fourth proportional to 7,559.64, 11,324.34 and 6,002.28 is: 8,991.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.64 : 11,324.34 = 6,002.28 : x
  2. Step 2: Convert to fraction form
    7,559.64/11,324.34 = 6,002.28/x
  3. Step 3: Cross multiply
    7,559.64x = 11,324.34 × 6,002.28
  4. Step 4: Simplify right side
    7,559.64x = 67,971,859.50
  5. Step 5: Solve for x
    x = 67,971,859.50/7,559.64
  6. Step 6: Final answer
    x = 8,991.41

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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.