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Finding the Fourth Proportional to 8,363.06, 11,541.39 and 5,005.23

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Solution

The fourth proportional to 8,363.06, 11,541.39 and 5,005.23 is: 6,907.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,363.06 : 11,541.39 = 5,005.23 : x
  2. Step 2: Convert to fraction form
    8,363.06/11,541.39 = 5,005.23/x
  3. Step 3: Cross multiply
    8,363.06x = 11,541.39 × 5,005.23
  4. Step 4: Simplify right side
    8,363.06x = 57,767,311.47
  5. Step 5: Solve for x
    x = 57,767,311.47/8,363.06
  6. Step 6: Final answer
    x = 6,907.44

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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.