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Finding the Fourth Proportional to 8,296.74, 12,415.86 and 5,178.21

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Solution

The fourth proportional to 8,296.74, 12,415.86 and 5,178.21 is: 7,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.74 : 12,415.86 = 5,178.21 : x
  2. Step 2: Convert to fraction form
    8,296.74/12,415.86 = 5,178.21/x
  3. Step 3: Cross multiply
    8,296.74x = 12,415.86 × 5,178.21
  4. Step 4: Simplify right side
    8,296.74x = 64,291,903.27
  5. Step 5: Solve for x
    x = 64,291,903.27/8,296.74
  6. Step 6: Final answer
    x = 7,749.06

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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.