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Finding the Fourth Proportional to 10,829.72, 16,237.98 and 4,259

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Solution

The fourth proportional to 10,829.72, 16,237.98 and 4,259 is: 6,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,829.72 : 16,237.98 = 4,259 : x
  2. Step 2: Convert to fraction form
    10,829.72/16,237.98 = 4,259/x
  3. Step 3: Cross multiply
    10,829.72x = 16,237.98 × 4,259
  4. Step 4: Simplify right side
    10,829.72x = 69,157,556.82
  5. Step 5: Solve for x
    x = 69,157,556.82/10,829.72
  6. Step 6: Final answer
    x = 6,385.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.