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Finding the Fourth Proportional to 8,318.25, 11,479.32 and 4,592.25

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Solution

The fourth proportional to 8,318.25, 11,479.32 and 4,592.25 is: 6,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,318.25 : 11,479.32 = 4,592.25 : x
  2. Step 2: Convert to fraction form
    8,318.25/11,479.32 = 4,592.25/x
  3. Step 3: Cross multiply
    8,318.25x = 11,479.32 × 4,592.25
  4. Step 4: Simplify right side
    8,318.25x = 52,715,907.27
  5. Step 5: Solve for x
    x = 52,715,907.27/8,318.25
  6. Step 6: Final answer
    x = 6,337.38

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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.