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Finding the Fourth Proportional to 8,178.71, 11,295.81 and 5,521.50

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Solution

The fourth proportional to 8,178.71, 11,295.81 and 5,521.50 is: 7,625.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.71 : 11,295.81 = 5,521.50 : x
  2. Step 2: Convert to fraction form
    8,178.71/11,295.81 = 5,521.50/x
  3. Step 3: Cross multiply
    8,178.71x = 11,295.81 × 5,521.50
  4. Step 4: Simplify right side
    8,178.71x = 62,369,814.92
  5. Step 5: Solve for x
    x = 62,369,814.92/8,178.71
  6. Step 6: Final answer
    x = 7,625.88

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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.