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Finding the Fourth Proportional to 8,339.82, 11,502.32 and 5,355.96

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Solution

The fourth proportional to 8,339.82, 11,502.32 and 5,355.96 is: 7,386.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339.82 : 11,502.32 = 5,355.96 : x
  2. Step 2: Convert to fraction form
    8,339.82/11,502.32 = 5,355.96/x
  3. Step 3: Cross multiply
    8,339.82x = 11,502.32 × 5,355.96
  4. Step 4: Simplify right side
    8,339.82x = 61,605,939.05
  5. Step 5: Solve for x
    x = 61,605,939.05/8,339.82
  6. Step 6: Final answer
    x = 7,386.96

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Why These Related Problems?

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