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Finding the Fourth Proportional to 11,919.66, 16,448.40 and 6,614.16

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Solution

The fourth proportional to 11,919.66, 16,448.40 and 6,614.16 is: 9,127.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,919.66 : 16,448.40 = 6,614.16 : x
  2. Step 2: Convert to fraction form
    11,919.66/16,448.40 = 6,614.16/x
  3. Step 3: Cross multiply
    11,919.66x = 16,448.40 × 6,614.16
  4. Step 4: Simplify right side
    11,919.66x = 108,792,349.34
  5. Step 5: Solve for x
    x = 108,792,349.34/11,919.66
  6. Step 6: Final answer
    x = 9,127.14

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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.