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Finding the Fourth Proportional to 7,032.58, 10,540.71 and 2,647.24

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Solution

The fourth proportional to 7,032.58, 10,540.71 and 2,647.24 is: 3,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.58 : 10,540.71 = 2,647.24 : x
  2. Step 2: Convert to fraction form
    7,032.58/10,540.71 = 2,647.24/x
  3. Step 3: Cross multiply
    7,032.58x = 10,540.71 × 2,647.24
  4. Step 4: Simplify right side
    7,032.58x = 27,903,789.14
  5. Step 5: Solve for x
    x = 27,903,789.14/7,032.58
  6. Step 6: Final answer
    x = 3,967.79

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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.