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Finding the Fourth Proportional to 8,356.26, 12,535.02 and 2,809.62

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Solution

The fourth proportional to 8,356.26, 12,535.02 and 2,809.62 is: 4,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.26 : 12,535.02 = 2,809.62 : x
  2. Step 2: Convert to fraction form
    8,356.26/12,535.02 = 2,809.62/x
  3. Step 3: Cross multiply
    8,356.26x = 12,535.02 × 2,809.62
  4. Step 4: Simplify right side
    8,356.26x = 35,218,642.89
  5. Step 5: Solve for x
    x = 35,218,642.89/8,356.26
  6. Step 6: Final answer
    x = 4,214.64

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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.