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Finding the Fourth Proportional to 11,944.32, 17,916.48 and 5,784

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Solution

The fourth proportional to 11,944.32, 17,916.48 and 5,784 is: 8,676

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.32 : 17,916.48 = 5,784 : x
  2. Step 2: Convert to fraction form
    11,944.32/17,916.48 = 5,784/x
  3. Step 3: Cross multiply
    11,944.32x = 17,916.48 × 5,784
  4. Step 4: Simplify right side
    11,944.32x = 103,628,920.32
  5. Step 5: Solve for x
    x = 103,628,920.32/11,944.32
  6. Step 6: Final answer
    x = 8,676

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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.