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Finding the Fourth Proportional to 25,986.31, 38,977.03 and 7,268.02

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Solution

The fourth proportional to 25,986.31, 38,977.03 and 7,268.02 is: 10,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,986.31 : 38,977.03 = 7,268.02 : x
  2. Step 2: Convert to fraction form
    25,986.31/38,977.03 = 7,268.02/x
  3. Step 3: Cross multiply
    25,986.31x = 38,977.03 × 7,268.02
  4. Step 4: Simplify right side
    25,986.31x = 283,285,833.58
  5. Step 5: Solve for x
    x = 283,285,833.58/25,986.31
  6. Step 6: Final answer
    x = 10,901.35

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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.