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Finding the Fourth Proportional to 8,247.60, 11,381.28 and 4,710.60

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Solution

The fourth proportional to 8,247.60, 11,381.28 and 4,710.60 is: 6,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247.60 : 11,381.28 = 4,710.60 : x
  2. Step 2: Convert to fraction form
    8,247.60/11,381.28 = 4,710.60/x
  3. Step 3: Cross multiply
    8,247.60x = 11,381.28 × 4,710.60
  4. Step 4: Simplify right side
    8,247.60x = 53,612,657.57
  5. Step 5: Solve for x
    x = 53,612,657.57/8,247.60
  6. Step 6: Final answer
    x = 6,500.39

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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.