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Finding the Fourth Proportional to 11,695.76, 16,140.36 and 6,390.80

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Solution

The fourth proportional to 11,695.76, 16,140.36 and 6,390.80 is: 8,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,695.76 : 16,140.36 = 6,390.80 : x
  2. Step 2: Convert to fraction form
    11,695.76/16,140.36 = 6,390.80/x
  3. Step 3: Cross multiply
    11,695.76x = 16,140.36 × 6,390.80
  4. Step 4: Simplify right side
    11,695.76x = 103,149,812.69
  5. Step 5: Solve for x
    x = 103,149,812.69/11,695.76
  6. Step 6: Final answer
    x = 8,819.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.