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Finding the Fourth Proportional to 11,440.08, 15,778.80 and 7,662

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Solution

The fourth proportional to 11,440.08, 15,778.80 and 7,662 is: 10,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,440.08 : 15,778.80 = 7,662 : x
  2. Step 2: Convert to fraction form
    11,440.08/15,778.80 = 7,662/x
  3. Step 3: Cross multiply
    11,440.08x = 15,778.80 × 7,662
  4. Step 4: Simplify right side
    11,440.08x = 120,897,165.60
  5. Step 5: Solve for x
    x = 120,897,165.60/11,440.08
  6. Step 6: Final answer
    x = 10,567.86

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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.