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Finding the Fourth Proportional to 6,884.52, 10,301.26 and 4,112.70

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Solution

The fourth proportional to 6,884.52, 10,301.26 and 4,112.70 is: 6,153.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.52 : 10,301.26 = 4,112.70 : x
  2. Step 2: Convert to fraction form
    6,884.52/10,301.26 = 4,112.70/x
  3. Step 3: Cross multiply
    6,884.52x = 10,301.26 × 4,112.70
  4. Step 4: Simplify right side
    6,884.52x = 42,365,992.00
  5. Step 5: Solve for x
    x = 42,365,992.00/6,884.52
  6. Step 6: Final answer
    x = 6,153.80

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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.