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Finding the Fourth Proportional to 7,067.90, 10,594.02 and 5,431.16

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Solution

The fourth proportional to 7,067.90, 10,594.02 and 5,431.16 is: 8,140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.90 : 10,594.02 = 5,431.16 : x
  2. Step 2: Convert to fraction form
    7,067.90/10,594.02 = 5,431.16/x
  3. Step 3: Cross multiply
    7,067.90x = 10,594.02 × 5,431.16
  4. Step 4: Simplify right side
    7,067.90x = 57,537,817.66
  5. Step 5: Solve for x
    x = 57,537,817.66/7,067.90
  6. Step 6: Final answer
    x = 8,140.72

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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.