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Finding the Fourth Proportional to 8,285.69, 11,432.62 and 4,651.87

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Solution

The fourth proportional to 8,285.69, 11,432.62 and 4,651.87 is: 6,418.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.69 : 11,432.62 = 4,651.87 : x
  2. Step 2: Convert to fraction form
    8,285.69/11,432.62 = 4,651.87/x
  3. Step 3: Cross multiply
    8,285.69x = 11,432.62 × 4,651.87
  4. Step 4: Simplify right side
    8,285.69x = 53,183,062.00
  5. Step 5: Solve for x
    x = 53,183,062.00/8,285.69
  6. Step 6: Final answer
    x = 6,418.66

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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.