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Finding the Fourth Proportional to 8,284.38, 12,430.89 and 3,357.66

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Solution

The fourth proportional to 8,284.38, 12,430.89 and 3,357.66 is: 5,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.38 : 12,430.89 = 3,357.66 : x
  2. Step 2: Convert to fraction form
    8,284.38/12,430.89 = 3,357.66/x
  3. Step 3: Cross multiply
    8,284.38x = 12,430.89 × 3,357.66
  4. Step 4: Simplify right side
    8,284.38x = 41,738,702.12
  5. Step 5: Solve for x
    x = 41,738,702.12/8,284.38
  6. Step 6: Final answer
    x = 5,038.24

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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.