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Finding the Fourth Proportional to 8,266.25, 11,407.23 and 4,729.39

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Solution

The fourth proportional to 8,266.25, 11,407.23 and 4,729.39 is: 6,526.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.25 : 11,407.23 = 4,729.39 : x
  2. Step 2: Convert to fraction form
    8,266.25/11,407.23 = 4,729.39/x
  3. Step 3: Cross multiply
    8,266.25x = 11,407.23 × 4,729.39
  4. Step 4: Simplify right side
    8,266.25x = 53,949,210.97
  5. Step 5: Solve for x
    x = 53,949,210.97/8,266.25
  6. Step 6: Final answer
    x = 6,526.44

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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.