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Finding the Fourth Proportional to 11,908.40, 17,870.84 and 4,117.22

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Solution

The fourth proportional to 11,908.40, 17,870.84 and 4,117.22 is: 6,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,908.40 : 17,870.84 = 4,117.22 : x
  2. Step 2: Convert to fraction form
    11,908.40/17,870.84 = 4,117.22/x
  3. Step 3: Cross multiply
    11,908.40x = 17,870.84 × 4,117.22
  4. Step 4: Simplify right side
    11,908.40x = 73,578,179.86
  5. Step 5: Solve for x
    x = 73,578,179.86/11,908.40
  6. Step 6: Final answer
    x = 6,178.68

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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.