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Finding the Fourth Proportional to 8,219.84, 11,343.02 and 5,038.42

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Solution

The fourth proportional to 8,219.84, 11,343.02 and 5,038.42 is: 6,952.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,219.84 : 11,343.02 = 5,038.42 : x
  2. Step 2: Convert to fraction form
    8,219.84/11,343.02 = 5,038.42/x
  3. Step 3: Cross multiply
    8,219.84x = 11,343.02 × 5,038.42
  4. Step 4: Simplify right side
    8,219.84x = 57,150,898.83
  5. Step 5: Solve for x
    x = 57,150,898.83/8,219.84
  6. Step 6: Final answer
    x = 6,952.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.