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Finding the Fourth Proportional to 7,141.84, 10,711.32 and 2,759.92

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Solution

The fourth proportional to 7,141.84, 10,711.32 and 2,759.92 is: 4,139.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.84 : 10,711.32 = 2,759.92 : x
  2. Step 2: Convert to fraction form
    7,141.84/10,711.32 = 2,759.92/x
  3. Step 3: Cross multiply
    7,141.84x = 10,711.32 × 2,759.92
  4. Step 4: Simplify right side
    7,141.84x = 29,562,386.29
  5. Step 5: Solve for x
    x = 29,562,386.29/7,141.84
  6. Step 6: Final answer
    x = 4,139.32

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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.