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Finding the Fourth Proportional to 8,356.74, 11,532.12 and 4,579.82

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Solution

The fourth proportional to 8,356.74, 11,532.12 and 4,579.82 is: 6,320.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.74 : 11,532.12 = 4,579.82 : x
  2. Step 2: Convert to fraction form
    8,356.74/11,532.12 = 4,579.82/x
  3. Step 3: Cross multiply
    8,356.74x = 11,532.12 × 4,579.82
  4. Step 4: Simplify right side
    8,356.74x = 52,814,976.16
  5. Step 5: Solve for x
    x = 52,814,976.16/8,356.74
  6. Step 6: Final answer
    x = 6,320.05

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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.