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Finding the Fourth Proportional to 8,329.47, 11,490.35 and 5,640.77

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Solution

The fourth proportional to 8,329.47, 11,490.35 and 5,640.77 is: 7,781.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.47 : 11,490.35 = 5,640.77 : x
  2. Step 2: Convert to fraction form
    8,329.47/11,490.35 = 5,640.77/x
  3. Step 3: Cross multiply
    8,329.47x = 11,490.35 × 5,640.77
  4. Step 4: Simplify right side
    8,329.47x = 64,814,335.91
  5. Step 5: Solve for x
    x = 64,814,335.91/8,329.47
  6. Step 6: Final answer
    x = 7,781.33

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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.