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Finding the Fourth Proportional to 8,285.64, 11,434.23 and 4,508.83

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Solution

The fourth proportional to 8,285.64, 11,434.23 and 4,508.83 is: 6,222.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.64 : 11,434.23 = 4,508.83 : x
  2. Step 2: Convert to fraction form
    8,285.64/11,434.23 = 4,508.83/x
  3. Step 3: Cross multiply
    8,285.64x = 11,434.23 × 4,508.83
  4. Step 4: Simplify right side
    8,285.64x = 51,554,976.71
  5. Step 5: Solve for x
    x = 51,554,976.71/8,285.64
  6. Step 6: Final answer
    x = 6,222.21

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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.