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Finding the Fourth Proportional to 8,262, 11,399.13 and 4,903.13

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Solution

The fourth proportional to 8,262, 11,399.13 and 4,903.13 is: 6,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262 : 11,399.13 = 4,903.13 : x
  2. Step 2: Convert to fraction form
    8,262/11,399.13 = 4,903.13/x
  3. Step 3: Cross multiply
    8,262x = 11,399.13 × 4,903.13
  4. Step 4: Simplify right side
    8,262x = 55,891,444.77
  5. Step 5: Solve for x
    x = 55,891,444.77/8,262
  6. Step 6: Final answer
    x = 6,764.88

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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.