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Finding the Fourth Proportional to 8,294.96, 12,435.86 and 4,132.70

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Solution

The fourth proportional to 8,294.96, 12,435.86 and 4,132.70 is: 6,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.96 : 12,435.86 = 4,132.70 : x
  2. Step 2: Convert to fraction form
    8,294.96/12,435.86 = 4,132.70/x
  3. Step 3: Cross multiply
    8,294.96x = 12,435.86 × 4,132.70
  4. Step 4: Simplify right side
    8,294.96x = 51,393,678.62
  5. Step 5: Solve for x
    x = 51,393,678.62/8,294.96
  6. Step 6: Final answer
    x = 6,195.77

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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.