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Finding the Fourth Proportional to 8,156.83, 11,253.10 and 5,323.22

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Solution

The fourth proportional to 8,156.83, 11,253.10 and 5,323.22 is: 7,343.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,156.83 : 11,253.10 = 5,323.22 : x
  2. Step 2: Convert to fraction form
    8,156.83/11,253.10 = 5,323.22/x
  3. Step 3: Cross multiply
    8,156.83x = 11,253.10 × 5,323.22
  4. Step 4: Simplify right side
    8,156.83x = 59,902,724.56
  5. Step 5: Solve for x
    x = 59,902,724.56/8,156.83
  6. Step 6: Final answer
    x = 7,343.88

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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.