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Finding the Fourth Proportional to 8,223.93, 11,346.24 and 4,684.62

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Solution

The fourth proportional to 8,223.93, 11,346.24 and 4,684.62 is: 6,463.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.93 : 11,346.24 = 4,684.62 : x
  2. Step 2: Convert to fraction form
    8,223.93/11,346.24 = 4,684.62/x
  3. Step 3: Cross multiply
    8,223.93x = 11,346.24 × 4,684.62
  4. Step 4: Simplify right side
    8,223.93x = 53,152,822.83
  5. Step 5: Solve for x
    x = 53,152,822.83/8,223.93
  6. Step 6: Final answer
    x = 6,463.19

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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.