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Finding the Fourth Proportional to 8,371.80, 11,552.67 and 4,594.95

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Solution

The fourth proportional to 8,371.80, 11,552.67 and 4,594.95 is: 6,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,371.80 : 11,552.67 = 4,594.95 : x
  2. Step 2: Convert to fraction form
    8,371.80/11,552.67 = 4,594.95/x
  3. Step 3: Cross multiply
    8,371.80x = 11,552.67 × 4,594.95
  4. Step 4: Simplify right side
    8,371.80x = 53,083,941.02
  5. Step 5: Solve for x
    x = 53,083,941.02/8,371.80
  6. Step 6: Final answer
    x = 6,340.80

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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.