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Finding the Fourth Proportional to 11,428.56, 17,143 and 3,643.92

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Solution

The fourth proportional to 11,428.56, 17,143 and 3,643.92 is: 5,465.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.56 : 17,143 = 3,643.92 : x
  2. Step 2: Convert to fraction form
    11,428.56/17,143 = 3,643.92/x
  3. Step 3: Cross multiply
    11,428.56x = 17,143 × 3,643.92
  4. Step 4: Simplify right side
    11,428.56x = 62,467,720.56
  5. Step 5: Solve for x
    x = 62,467,720.56/11,428.56
  6. Step 6: Final answer
    x = 5,465.93

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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.