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Finding the Fourth Proportional to 8,321.48, 11,480.88 and 5,490.26

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Solution

The fourth proportional to 8,321.48, 11,480.88 and 5,490.26 is: 7,574.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.48 : 11,480.88 = 5,490.26 : x
  2. Step 2: Convert to fraction form
    8,321.48/11,480.88 = 5,490.26/x
  3. Step 3: Cross multiply
    8,321.48x = 11,480.88 × 5,490.26
  4. Step 4: Simplify right side
    8,321.48x = 63,033,016.23
  5. Step 5: Solve for x
    x = 63,033,016.23/8,321.48
  6. Step 6: Final answer
    x = 7,574.74

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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.