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Finding the Fourth Proportional to 8,221.02, 11,345.70 and 5,034.30

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Solution

The fourth proportional to 8,221.02, 11,345.70 and 5,034.30 is: 6,947.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.02 : 11,345.70 = 5,034.30 : x
  2. Step 2: Convert to fraction form
    8,221.02/11,345.70 = 5,034.30/x
  3. Step 3: Cross multiply
    8,221.02x = 11,345.70 × 5,034.30
  4. Step 4: Simplify right side
    8,221.02x = 57,117,657.51
  5. Step 5: Solve for x
    x = 57,117,657.51/8,221.02
  6. Step 6: Final answer
    x = 6,947.76

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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.