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Finding the Fourth Proportional to 11,565.34, 17,348.77 and 4,067.99

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Solution

The fourth proportional to 11,565.34, 17,348.77 and 4,067.99 is: 6,102.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.34 : 17,348.77 = 4,067.99 : x
  2. Step 2: Convert to fraction form
    11,565.34/17,348.77 = 4,067.99/x
  3. Step 3: Cross multiply
    11,565.34x = 17,348.77 × 4,067.99
  4. Step 4: Simplify right side
    11,565.34x = 70,574,622.87
  5. Step 5: Solve for x
    x = 70,574,622.87/11,565.34
  6. Step 6: Final answer
    x = 6,102.25

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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.