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Finding the Fourth Proportional to 8,186.40, 11,296.80 and 5,041.44

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Solution

The fourth proportional to 8,186.40, 11,296.80 and 5,041.44 is: 6,956.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.40 : 11,296.80 = 5,041.44 : x
  2. Step 2: Convert to fraction form
    8,186.40/11,296.80 = 5,041.44/x
  3. Step 3: Cross multiply
    8,186.40x = 11,296.80 × 5,041.44
  4. Step 4: Simplify right side
    8,186.40x = 56,952,139.39
  5. Step 5: Solve for x
    x = 56,952,139.39/8,186.40
  6. Step 6: Final answer
    x = 6,956.92

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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.