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Finding the Fourth Proportional to 7,137.97, 10,710.02 and 2,758.51

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Solution

The fourth proportional to 7,137.97, 10,710.02 and 2,758.51 is: 4,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.97 : 10,710.02 = 2,758.51 : x
  2. Step 2: Convert to fraction form
    7,137.97/10,710.02 = 2,758.51/x
  3. Step 3: Cross multiply
    7,137.97x = 10,710.02 × 2,758.51
  4. Step 4: Simplify right side
    7,137.97x = 29,543,643.72
  5. Step 5: Solve for x
    x = 29,543,643.72/7,137.97
  6. Step 6: Final answer
    x = 4,138.94

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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.