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Finding the Fourth Proportional to 8,202.92, 11,320.88 and 5,018.33

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Solution

The fourth proportional to 8,202.92, 11,320.88 and 5,018.33 is: 6,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.92 : 11,320.88 = 5,018.33 : x
  2. Step 2: Convert to fraction form
    8,202.92/11,320.88 = 5,018.33/x
  3. Step 3: Cross multiply
    8,202.92x = 11,320.88 × 5,018.33
  4. Step 4: Simplify right side
    8,202.92x = 56,811,943.89
  5. Step 5: Solve for x
    x = 56,811,943.89/8,202.92
  6. Step 6: Final answer
    x = 6,925.82

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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.