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Finding the Fourth Proportional to 8,285.53, 11,434.24 and 4,508.90

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Solution

The fourth proportional to 8,285.53, 11,434.24 and 4,508.90 is: 6,222.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,285.53 : 11,434.24 = 4,508.90 : x
  2. Step 2: Convert to fraction form
    8,285.53/11,434.24 = 4,508.90/x
  3. Step 3: Cross multiply
    8,285.53x = 11,434.24 × 4,508.90
  4. Step 4: Simplify right side
    8,285.53x = 51,555,810.51
  5. Step 5: Solve for x
    x = 51,555,810.51/8,285.53
  6. Step 6: Final answer
    x = 6,222.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.