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Finding the Fourth Proportional to 6,903, 10,334.52 and 5,266.08

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Solution

The fourth proportional to 6,903, 10,334.52 and 5,266.08 is: 7,883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,903 : 10,334.52 = 5,266.08 : x
  2. Step 2: Convert to fraction form
    6,903/10,334.52 = 5,266.08/x
  3. Step 3: Cross multiply
    6,903x = 10,334.52 × 5,266.08
  4. Step 4: Simplify right side
    6,903x = 54,422,409.08
  5. Step 5: Solve for x
    x = 54,422,409.08/6,903
  6. Step 6: Final answer
    x = 7,883.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.