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Finding the Fourth Proportional to 10,904.32, 16,335.07 and 7,195.23

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Solution

The fourth proportional to 10,904.32, 16,335.07 and 7,195.23 is: 10,778.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,904.32 : 16,335.07 = 7,195.23 : x
  2. Step 2: Convert to fraction form
    10,904.32/16,335.07 = 7,195.23/x
  3. Step 3: Cross multiply
    10,904.32x = 16,335.07 × 7,195.23
  4. Step 4: Simplify right side
    10,904.32x = 117,534,567.73
  5. Step 5: Solve for x
    x = 117,534,567.73/10,904.32
  6. Step 6: Final answer
    x = 10,778.71

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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.