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Finding the Fourth Proportional to 8,030.48, 11,083.38 and 4,494.56

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Solution

The fourth proportional to 8,030.48, 11,083.38 and 4,494.56 is: 6,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,030.48 : 11,083.38 = 4,494.56 : x
  2. Step 2: Convert to fraction form
    8,030.48/11,083.38 = 4,494.56/x
  3. Step 3: Cross multiply
    8,030.48x = 11,083.38 × 4,494.56
  4. Step 4: Simplify right side
    8,030.48x = 49,814,916.41
  5. Step 5: Solve for x
    x = 49,814,916.41/8,030.48
  6. Step 6: Final answer
    x = 6,203.23

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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.