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Finding the Fourth Proportional to 11,275.74, 16,909.44 and 3,878.16

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Solution

The fourth proportional to 11,275.74, 16,909.44 and 3,878.16 is: 5,815.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,275.74 : 16,909.44 = 3,878.16 : x
  2. Step 2: Convert to fraction form
    11,275.74/16,909.44 = 3,878.16/x
  3. Step 3: Cross multiply
    11,275.74x = 16,909.44 × 3,878.16
  4. Step 4: Simplify right side
    11,275.74x = 65,577,513.83
  5. Step 5: Solve for x
    x = 65,577,513.83/11,275.74
  6. Step 6: Final answer
    x = 5,815.81

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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.