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Finding the Fourth Proportional to 8,227.84, 11,357.12 and 6,552.32

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Solution

The fourth proportional to 8,227.84, 11,357.12 and 6,552.32 is: 9,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.84 : 11,357.12 = 6,552.32 : x
  2. Step 2: Convert to fraction form
    8,227.84/11,357.12 = 6,552.32/x
  3. Step 3: Cross multiply
    8,227.84x = 11,357.12 × 6,552.32
  4. Step 4: Simplify right side
    8,227.84x = 74,415,484.52
  5. Step 5: Solve for x
    x = 74,415,484.52/8,227.84
  6. Step 6: Final answer
    x = 9,044.35

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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.