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Finding the Fourth Proportional to 8,270.10, 12,405.15 and 6,301.80

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Solution

The fourth proportional to 8,270.10, 12,405.15 and 6,301.80 is: 9,452.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.10 : 12,405.15 = 6,301.80 : x
  2. Step 2: Convert to fraction form
    8,270.10/12,405.15 = 6,301.80/x
  3. Step 3: Cross multiply
    8,270.10x = 12,405.15 × 6,301.80
  4. Step 4: Simplify right side
    8,270.10x = 78,174,774.27
  5. Step 5: Solve for x
    x = 78,174,774.27/8,270.10
  6. Step 6: Final answer
    x = 9,452.70

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