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Finding the Fourth Proportional to 8,329.02, 11,497.77 and 5,498.07

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Solution

The fourth proportional to 8,329.02, 11,497.77 and 5,498.07 is: 7,589.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.02 : 11,497.77 = 5,498.07 : x
  2. Step 2: Convert to fraction form
    8,329.02/11,497.77 = 5,498.07/x
  3. Step 3: Cross multiply
    8,329.02x = 11,497.77 × 5,498.07
  4. Step 4: Simplify right side
    8,329.02x = 63,215,544.30
  5. Step 5: Solve for x
    x = 63,215,544.30/8,329.02
  6. Step 6: Final answer
    x = 7,589.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.