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Finding the Fourth Proportional to 10,242.92, 15,357.90 and 3,667.88

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Solution

The fourth proportional to 10,242.92, 15,357.90 and 3,667.88 is: 5,499.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242.92 : 15,357.90 = 3,667.88 : x
  2. Step 2: Convert to fraction form
    10,242.92/15,357.90 = 3,667.88/x
  3. Step 3: Cross multiply
    10,242.92x = 15,357.90 × 3,667.88
  4. Step 4: Simplify right side
    10,242.92x = 56,330,934.25
  5. Step 5: Solve for x
    x = 56,330,934.25/10,242.92
  6. Step 6: Final answer
    x = 5,499.50

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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.