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Finding the Fourth Proportional to 8,164.17, 11,264.67 and 4,976.55

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Solution

The fourth proportional to 8,164.17, 11,264.67 and 4,976.55 is: 6,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.17 : 11,264.67 = 4,976.55 : x
  2. Step 2: Convert to fraction form
    8,164.17/11,264.67 = 4,976.55/x
  3. Step 3: Cross multiply
    8,164.17x = 11,264.67 × 4,976.55
  4. Step 4: Simplify right side
    8,164.17x = 56,059,193.49
  5. Step 5: Solve for x
    x = 56,059,193.49/8,164.17
  6. Step 6: Final answer
    x = 6,866.49

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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.