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Finding the Fourth Proportional to 8,364.86, 12,544.10 and 2,816.71

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Solution

The fourth proportional to 8,364.86, 12,544.10 and 2,816.71 is: 4,224.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.86 : 12,544.10 = 2,816.71 : x
  2. Step 2: Convert to fraction form
    8,364.86/12,544.10 = 2,816.71/x
  3. Step 3: Cross multiply
    8,364.86x = 12,544.10 × 2,816.71
  4. Step 4: Simplify right side
    8,364.86x = 35,333,127.59
  5. Step 5: Solve for x
    x = 35,333,127.59/8,364.86
  6. Step 6: Final answer
    x = 4,224.00

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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.