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Finding the Fourth Proportional to 11,919.59, 16,448.98 and 6,614.40

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Solution

The fourth proportional to 11,919.59, 16,448.98 and 6,614.40 is: 9,127.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.59 : 16,448.98 = 6,614.40 : x
  2. Step 2: Convert to fraction form
    11,919.59/16,448.98 = 6,614.40/x
  3. Step 3: Cross multiply
    11,919.59x = 16,448.98 × 6,614.40
  4. Step 4: Simplify right side
    11,919.59x = 108,800,133.31
  5. Step 5: Solve for x
    x = 108,800,133.31/11,919.59
  6. Step 6: Final answer
    x = 9,127.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.