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Finding the Fourth Proportional to 8,223.04, 11,346.78 and 5,237.65

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Solution

The fourth proportional to 8,223.04, 11,346.78 and 5,237.65 is: 7,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.04 : 11,346.78 = 5,237.65 : x
  2. Step 2: Convert to fraction form
    8,223.04/11,346.78 = 5,237.65/x
  3. Step 3: Cross multiply
    8,223.04x = 11,346.78 × 5,237.65
  4. Step 4: Simplify right side
    8,223.04x = 59,430,462.27
  5. Step 5: Solve for x
    x = 59,430,462.27/8,223.04
  6. Step 6: Final answer
    x = 7,227.31

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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.