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Finding the Fourth Proportional to 8,384.04, 11,564.82 and 5,239.62

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Solution

The fourth proportional to 8,384.04, 11,564.82 and 5,239.62 is: 7,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.04 : 11,564.82 = 5,239.62 : x
  2. Step 2: Convert to fraction form
    8,384.04/11,564.82 = 5,239.62/x
  3. Step 3: Cross multiply
    8,384.04x = 11,564.82 × 5,239.62
  4. Step 4: Simplify right side
    8,384.04x = 60,595,262.17
  5. Step 5: Solve for x
    x = 60,595,262.17/8,384.04
  6. Step 6: Final answer
    x = 7,227.45

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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.