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Finding the Fourth Proportional to 7,143.84, 10,717.29 and 2,213.37

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Solution

The fourth proportional to 7,143.84, 10,717.29 and 2,213.37 is: 3,320.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,143.84 : 10,717.29 = 2,213.37 : x
  2. Step 2: Convert to fraction form
    7,143.84/10,717.29 = 2,213.37/x
  3. Step 3: Cross multiply
    7,143.84x = 10,717.29 × 2,213.37
  4. Step 4: Simplify right side
    7,143.84x = 23,721,328.17
  5. Step 5: Solve for x
    x = 23,721,328.17/7,143.84
  6. Step 6: Final answer
    x = 3,320.53

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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.