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Finding the Fourth Proportional to 8,468.54, 11,675.10 and 7,139.94

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Solution

The fourth proportional to 8,468.54, 11,675.10 and 7,139.94 is: 9,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.54 : 11,675.10 = 7,139.94 : x
  2. Step 2: Convert to fraction form
    8,468.54/11,675.10 = 7,139.94/x
  3. Step 3: Cross multiply
    8,468.54x = 11,675.10 × 7,139.94
  4. Step 4: Simplify right side
    8,468.54x = 83,359,513.49
  5. Step 5: Solve for x
    x = 83,359,513.49/8,468.54
  6. Step 6: Final answer
    x = 9,843.43

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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.