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Finding the Fourth Proportional to 8,188.20, 11,302.20 and 4,830.75

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Solution

The fourth proportional to 8,188.20, 11,302.20 and 4,830.75 is: 6,667.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.20 : 11,302.20 = 4,830.75 : x
  2. Step 2: Convert to fraction form
    8,188.20/11,302.20 = 4,830.75/x
  3. Step 3: Cross multiply
    8,188.20x = 11,302.20 × 4,830.75
  4. Step 4: Simplify right side
    8,188.20x = 54,598,102.65
  5. Step 5: Solve for x
    x = 54,598,102.65/8,188.20
  6. Step 6: Final answer
    x = 6,667.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.