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Finding the Fourth Proportional to 8,233.82, 11,363.78 and 4,698.17

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Solution

The fourth proportional to 8,233.82, 11,363.78 and 4,698.17 is: 6,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.82 : 11,363.78 = 4,698.17 : x
  2. Step 2: Convert to fraction form
    8,233.82/11,363.78 = 4,698.17/x
  3. Step 3: Cross multiply
    8,233.82x = 11,363.78 × 4,698.17
  4. Step 4: Simplify right side
    8,233.82x = 53,388,925.21
  5. Step 5: Solve for x
    x = 53,388,925.21/8,233.82
  6. Step 6: Final answer
    x = 6,484.11

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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.