Home / 7,732.50-11,598.75-2,538.38

Finding the Fourth Proportional to 7,732.50, 11,598.75 and 2,538.38

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Solution

The fourth proportional to 7,732.50, 11,598.75 and 2,538.38 is: 3,807.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.50 : 11,598.75 = 2,538.38 : x
  2. Step 2: Convert to fraction form
    7,732.50/11,598.75 = 2,538.38/x
  3. Step 3: Cross multiply
    7,732.50x = 11,598.75 × 2,538.38
  4. Step 4: Simplify right side
    7,732.50x = 29,441,977.03
  5. Step 5: Solve for x
    x = 29,441,977.03/7,732.50
  6. Step 6: Final answer
    x = 3,807.56

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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.