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Finding the Fourth Proportional to 8,117.65, 12,178.59 and 2,571.07

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Solution

The fourth proportional to 8,117.65, 12,178.59 and 2,571.07 is: 3,857.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.65 : 12,178.59 = 2,571.07 : x
  2. Step 2: Convert to fraction form
    8,117.65/12,178.59 = 2,571.07/x
  3. Step 3: Cross multiply
    8,117.65x = 12,178.59 × 2,571.07
  4. Step 4: Simplify right side
    8,117.65x = 31,312,007.39
  5. Step 5: Solve for x
    x = 31,312,007.39/8,117.65
  6. Step 6: Final answer
    x = 3,857.27

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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.