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Finding the Fourth Proportional to 8,369.69, 11,521.17 and 7,234.83

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Solution

The fourth proportional to 8,369.69, 11,521.17 and 7,234.83 is: 9,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,369.69 : 11,521.17 = 7,234.83 : x
  2. Step 2: Convert to fraction form
    8,369.69/11,521.17 = 7,234.83/x
  3. Step 3: Cross multiply
    8,369.69x = 11,521.17 × 7,234.83
  4. Step 4: Simplify right side
    8,369.69x = 83,353,706.35
  5. Step 5: Solve for x
    x = 83,353,706.35/8,369.69
  6. Step 6: Final answer
    x = 9,959.00

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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.