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Finding the Fourth Proportional to 8,480.01, 11,702.16 and 4,754.01

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Solution

The fourth proportional to 8,480.01, 11,702.16 and 4,754.01 is: 6,560.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.01 : 11,702.16 = 4,754.01 : x
  2. Step 2: Convert to fraction form
    8,480.01/11,702.16 = 4,754.01/x
  3. Step 3: Cross multiply
    8,480.01x = 11,702.16 × 4,754.01
  4. Step 4: Simplify right side
    8,480.01x = 55,632,185.66
  5. Step 5: Solve for x
    x = 55,632,185.66/8,480.01
  6. Step 6: Final answer
    x = 6,560.39

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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.