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Finding the Fourth Proportional to 11,565.66, 17,349.10 and 3,668.77

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Solution

The fourth proportional to 11,565.66, 17,349.10 and 3,668.77 is: 5,503.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,565.66 : 17,349.10 = 3,668.77 : x
  2. Step 2: Convert to fraction form
    11,565.66/17,349.10 = 3,668.77/x
  3. Step 3: Cross multiply
    11,565.66x = 17,349.10 × 3,668.77
  4. Step 4: Simplify right side
    11,565.66x = 63,649,843.90
  5. Step 5: Solve for x
    x = 63,649,843.90/11,565.66
  6. Step 6: Final answer
    x = 5,503.35

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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.