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Finding the Fourth Proportional to 11,490.94, 15,859.59 and 6,775.42

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Solution

The fourth proportional to 11,490.94, 15,859.59 and 6,775.42 is: 9,351.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,490.94 : 15,859.59 = 6,775.42 : x
  2. Step 2: Convert to fraction form
    11,490.94/15,859.59 = 6,775.42/x
  3. Step 3: Cross multiply
    11,490.94x = 15,859.59 × 6,775.42
  4. Step 4: Simplify right side
    11,490.94x = 107,455,383.28
  5. Step 5: Solve for x
    x = 107,455,383.28/11,490.94
  6. Step 6: Final answer
    x = 9,351.31

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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.