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Finding the Fourth Proportional to 8,197.68, 11,309.16 and 5,052

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Solution

The fourth proportional to 8,197.68, 11,309.16 and 5,052 is: 6,969.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.68 : 11,309.16 = 5,052 : x
  2. Step 2: Convert to fraction form
    8,197.68/11,309.16 = 5,052/x
  3. Step 3: Cross multiply
    8,197.68x = 11,309.16 × 5,052
  4. Step 4: Simplify right side
    8,197.68x = 57,133,876.32
  5. Step 5: Solve for x
    x = 57,133,876.32/8,197.68
  6. Step 6: Final answer
    x = 6,969.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.