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Finding the Fourth Proportional to 11,916.27, 16,444.89 and 7,199.64

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Solution

The fourth proportional to 11,916.27, 16,444.89 and 7,199.64 is: 9,935.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.27 : 16,444.89 = 7,199.64 : x
  2. Step 2: Convert to fraction form
    11,916.27/16,444.89 = 7,199.64/x
  3. Step 3: Cross multiply
    11,916.27x = 16,444.89 × 7,199.64
  4. Step 4: Simplify right side
    11,916.27x = 118,397,287.84
  5. Step 5: Solve for x
    x = 118,397,287.84/11,916.27
  6. Step 6: Final answer
    x = 9,935.77

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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.