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Finding the Fourth Proportional to 11,441.52, 17,156.79 and 4,864.14

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Solution

The fourth proportional to 11,441.52, 17,156.79 and 4,864.14 is: 7,293.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,441.52 : 17,156.79 = 4,864.14 : x
  2. Step 2: Convert to fraction form
    11,441.52/17,156.79 = 4,864.14/x
  3. Step 3: Cross multiply
    11,441.52x = 17,156.79 × 4,864.14
  4. Step 4: Simplify right side
    11,441.52x = 83,453,028.51
  5. Step 5: Solve for x
    x = 83,453,028.51/11,441.52
  6. Step 6: Final answer
    x = 7,293.88

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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.