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Finding the Fourth Proportional to 7,903, 11,854.52 and 2,431

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Solution

The fourth proportional to 7,903, 11,854.52 and 2,431 is: 3,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,903 : 11,854.52 = 2,431 : x
  2. Step 2: Convert to fraction form
    7,903/11,854.52 = 2,431/x
  3. Step 3: Cross multiply
    7,903x = 11,854.52 × 2,431
  4. Step 4: Simplify right side
    7,903x = 28,818,338.12
  5. Step 5: Solve for x
    x = 28,818,338.12/7,903
  6. Step 6: Final answer
    x = 3,646.51

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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.