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Finding the Fourth Proportional to 11,428.84, 17,143.19 and 4,314.41

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Solution

The fourth proportional to 11,428.84, 17,143.19 and 4,314.41 is: 6,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.84 : 17,143.19 = 4,314.41 : x
  2. Step 2: Convert to fraction form
    11,428.84/17,143.19 = 4,314.41/x
  3. Step 3: Cross multiply
    11,428.84x = 17,143.19 × 4,314.41
  4. Step 4: Simplify right side
    11,428.84x = 73,962,643.08
  5. Step 5: Solve for x
    x = 73,962,643.08/11,428.84
  6. Step 6: Final answer
    x = 6,471.58

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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.