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Finding the Fourth Proportional to 8,223.39, 11,347.56 and 4,866.30

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Solution

The fourth proportional to 8,223.39, 11,347.56 and 4,866.30 is: 6,715.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.39 : 11,347.56 = 4,866.30 : x
  2. Step 2: Convert to fraction form
    8,223.39/11,347.56 = 4,866.30/x
  3. Step 3: Cross multiply
    8,223.39x = 11,347.56 × 4,866.30
  4. Step 4: Simplify right side
    8,223.39x = 55,220,631.23
  5. Step 5: Solve for x
    x = 55,220,631.23/8,223.39
  6. Step 6: Final answer
    x = 6,715.07

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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.