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Finding the Fourth Proportional to 7,141.30, 9,854.98 and 3,997.51

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Solution

The fourth proportional to 7,141.30, 9,854.98 and 3,997.51 is: 5,516.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.30 : 9,854.98 = 3,997.51 : x
  2. Step 2: Convert to fraction form
    7,141.30/9,854.98 = 3,997.51/x
  3. Step 3: Cross multiply
    7,141.30x = 9,854.98 × 3,997.51
  4. Step 4: Simplify right side
    7,141.30x = 39,395,381.10
  5. Step 5: Solve for x
    x = 39,395,381.10/7,141.30
  6. Step 6: Final answer
    x = 5,516.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.