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Finding the Fourth Proportional to 10,458.50, 15,687.30 and 2,667.08

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Solution

The fourth proportional to 10,458.50, 15,687.30 and 2,667.08 is: 4,000.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.50 : 15,687.30 = 2,667.08 : x
  2. Step 2: Convert to fraction form
    10,458.50/15,687.30 = 2,667.08/x
  3. Step 3: Cross multiply
    10,458.50x = 15,687.30 × 2,667.08
  4. Step 4: Simplify right side
    10,458.50x = 41,839,284.08
  5. Step 5: Solve for x
    x = 41,839,284.08/10,458.50
  6. Step 6: Final answer
    x = 4,000.51

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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.