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Finding the Fourth Proportional to 8,223.02, 11,343.70 and 4,864.20

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Solution

The fourth proportional to 8,223.02, 11,343.70 and 4,864.20 is: 6,710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.02 : 11,343.70 = 4,864.20 : x
  2. Step 2: Convert to fraction form
    8,223.02/11,343.70 = 4,864.20/x
  3. Step 3: Cross multiply
    8,223.02x = 11,343.70 × 4,864.20
  4. Step 4: Simplify right side
    8,223.02x = 55,178,025.54
  5. Step 5: Solve for x
    x = 55,178,025.54/8,223.02
  6. Step 6: Final answer
    x = 6,710.19

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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.