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Finding the Fourth Proportional to 8,480.38, 11,702.46 and 4,703.08

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Solution

The fourth proportional to 8,480.38, 11,702.46 and 4,703.08 is: 6,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.38 : 11,702.46 = 4,703.08 : x
  2. Step 2: Convert to fraction form
    8,480.38/11,702.46 = 4,703.08/x
  3. Step 3: Cross multiply
    8,480.38x = 11,702.46 × 4,703.08
  4. Step 4: Simplify right side
    8,480.38x = 55,037,605.58
  5. Step 5: Solve for x
    x = 55,037,605.58/8,480.38
  6. Step 6: Final answer
    x = 6,489.99

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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.