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Finding the Fourth Proportional to 11,286, 15,569.79 and 6,807.27

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Solution

The fourth proportional to 11,286, 15,569.79 and 6,807.27 is: 9,391.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286 : 15,569.79 = 6,807.27 : x
  2. Step 2: Convert to fraction form
    11,286/15,569.79 = 6,807.27/x
  3. Step 3: Cross multiply
    11,286x = 15,569.79 × 6,807.27
  4. Step 4: Simplify right side
    11,286x = 105,987,764.37
  5. Step 5: Solve for x
    x = 105,987,764.37/11,286
  6. Step 6: Final answer
    x = 9,391.08

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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.