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Finding the Fourth Proportional to 8,297.88, 11,443.52 and 5,498.52

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Solution

The fourth proportional to 8,297.88, 11,443.52 and 5,498.52 is: 7,582.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.88 : 11,443.52 = 5,498.52 : x
  2. Step 2: Convert to fraction form
    8,297.88/11,443.52 = 5,498.52/x
  3. Step 3: Cross multiply
    8,297.88x = 11,443.52 × 5,498.52
  4. Step 4: Simplify right side
    8,297.88x = 62,922,423.59
  5. Step 5: Solve for x
    x = 62,922,423.59/8,297.88
  6. Step 6: Final answer
    x = 7,582.95

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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.