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Finding the Fourth Proportional to 8,223.81, 11,349.17 and 4,686.93

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Solution

The fourth proportional to 8,223.81, 11,349.17 and 4,686.93 is: 6,468.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.81 : 11,349.17 = 4,686.93 : x
  2. Step 2: Convert to fraction form
    8,223.81/11,349.17 = 4,686.93/x
  3. Step 3: Cross multiply
    8,223.81x = 11,349.17 × 4,686.93
  4. Step 4: Simplify right side
    8,223.81x = 53,192,765.35
  5. Step 5: Solve for x
    x = 53,192,765.35/8,223.81
  6. Step 6: Final answer
    x = 6,468.14

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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.