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Finding the Fourth Proportional to 8,363.74, 11,541.90 and 4,586.80

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Solution

The fourth proportional to 8,363.74, 11,541.90 and 4,586.80 is: 6,329.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.74 : 11,541.90 = 4,586.80 : x
  2. Step 2: Convert to fraction form
    8,363.74/11,541.90 = 4,586.80/x
  3. Step 3: Cross multiply
    8,363.74x = 11,541.90 × 4,586.80
  4. Step 4: Simplify right side
    8,363.74x = 52,940,386.92
  5. Step 5: Solve for x
    x = 52,940,386.92/8,363.74
  6. Step 6: Final answer
    x = 6,329.75

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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.