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Finding the Fourth Proportional to 7,141.16, 9,863.01 and 5,458.82

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Solution

The fourth proportional to 7,141.16, 9,863.01 and 5,458.82 is: 7,539.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.16 : 9,863.01 = 5,458.82 : x
  2. Step 2: Convert to fraction form
    7,141.16/9,863.01 = 5,458.82/x
  3. Step 3: Cross multiply
    7,141.16x = 9,863.01 × 5,458.82
  4. Step 4: Simplify right side
    7,141.16x = 53,840,346.93
  5. Step 5: Solve for x
    x = 53,840,346.93/7,141.16
  6. Step 6: Final answer
    x = 7,539.44

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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.