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Finding the Fourth Proportional to 10,438.72, 15,649.28 and 7,143.68

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Solution

The fourth proportional to 10,438.72, 15,649.28 and 7,143.68 is: 10,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.72 : 15,649.28 = 7,143.68 : x
  2. Step 2: Convert to fraction form
    10,438.72/15,649.28 = 7,143.68/x
  3. Step 3: Cross multiply
    10,438.72x = 15,649.28 × 7,143.68
  4. Step 4: Simplify right side
    10,438.72x = 111,793,448.55
  5. Step 5: Solve for x
    x = 111,793,448.55/10,438.72
  6. Step 6: Final answer
    x = 10,709.50

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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.