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Finding the Fourth Proportional to 11,569.28, 15,992.51 and 10,322.69

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Solution

The fourth proportional to 11,569.28, 15,992.51 and 10,322.69 is: 14,269.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,569.28 : 15,992.51 = 10,322.69 : x
  2. Step 2: Convert to fraction form
    11,569.28/15,992.51 = 10,322.69/x
  3. Step 3: Cross multiply
    11,569.28x = 15,992.51 × 10,322.69
  4. Step 4: Simplify right side
    11,569.28x = 165,085,723.05
  5. Step 5: Solve for x
    x = 165,085,723.05/11,569.28
  6. Step 6: Final answer
    x = 14,269.32

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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.