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Finding the Fourth Proportional to 8,188.56, 12,279.60 and 4,728.24

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Solution

The fourth proportional to 8,188.56, 12,279.60 and 4,728.24 is: 7,090.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.56 : 12,279.60 = 4,728.24 : x
  2. Step 2: Convert to fraction form
    8,188.56/12,279.60 = 4,728.24/x
  3. Step 3: Cross multiply
    8,188.56x = 12,279.60 × 4,728.24
  4. Step 4: Simplify right side
    8,188.56x = 58,060,895.90
  5. Step 5: Solve for x
    x = 58,060,895.90/8,188.56
  6. Step 6: Final answer
    x = 7,090.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.