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Finding the Fourth Proportional to 8,355.74, 12,535.06 and 2,809.62

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Solution

The fourth proportional to 8,355.74, 12,535.06 and 2,809.62 is: 4,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,355.74 : 12,535.06 = 2,809.62 : x
  2. Step 2: Convert to fraction form
    8,355.74/12,535.06 = 2,809.62/x
  3. Step 3: Cross multiply
    8,355.74x = 12,535.06 × 2,809.62
  4. Step 4: Simplify right side
    8,355.74x = 35,218,755.28
  5. Step 5: Solve for x
    x = 35,218,755.28/8,355.74
  6. Step 6: Final answer
    x = 4,214.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.