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Finding the Fourth Proportional to 6,858.54, 10,291.76 and 2,909.49

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Solution

The fourth proportional to 6,858.54, 10,291.76 and 2,909.49 is: 4,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.54 : 10,291.76 = 2,909.49 : x
  2. Step 2: Convert to fraction form
    6,858.54/10,291.76 = 2,909.49/x
  3. Step 3: Cross multiply
    6,858.54x = 10,291.76 × 2,909.49
  4. Step 4: Simplify right side
    6,858.54x = 29,943,730.57
  5. Step 5: Solve for x
    x = 29,943,730.57/6,858.54
  6. Step 6: Final answer
    x = 4,365.90

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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.