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Finding the Fourth Proportional to 7,160.94, 10,740.18 and 1,896.01

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Solution

The fourth proportional to 7,160.94, 10,740.18 and 1,896.01 is: 2,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.94 : 10,740.18 = 1,896.01 : x
  2. Step 2: Convert to fraction form
    7,160.94/10,740.18 = 1,896.01/x
  3. Step 3: Cross multiply
    7,160.94x = 10,740.18 × 1,896.01
  4. Step 4: Simplify right side
    7,160.94x = 20,363,458.28
  5. Step 5: Solve for x
    x = 20,363,458.28/7,160.94
  6. Step 6: Final answer
    x = 2,843.69

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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.