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Finding the Fourth Proportional to 7,596.64, 11,379.84 and 6,039.28

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Solution

The fourth proportional to 7,596.64, 11,379.84 and 6,039.28 is: 9,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.64 : 11,379.84 = 6,039.28 : x
  2. Step 2: Convert to fraction form
    7,596.64/11,379.84 = 6,039.28/x
  3. Step 3: Cross multiply
    7,596.64x = 11,379.84 × 6,039.28
  4. Step 4: Simplify right side
    7,596.64x = 68,726,040.12
  5. Step 5: Solve for x
    x = 68,726,040.12/7,596.64
  6. Step 6: Final answer
    x = 9,046.90

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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.