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Finding the Fourth Proportional to 6,164.90, 8,508.63 and 5,959.87

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Solution

The fourth proportional to 6,164.90, 8,508.63 and 5,959.87 is: 8,225.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.90 : 8,508.63 = 5,959.87 : x
  2. Step 2: Convert to fraction form
    6,164.90/8,508.63 = 5,959.87/x
  3. Step 3: Cross multiply
    6,164.90x = 8,508.63 × 5,959.87
  4. Step 4: Simplify right side
    6,164.90x = 50,710,377.62
  5. Step 5: Solve for x
    x = 50,710,377.62/6,164.90
  6. Step 6: Final answer
    x = 8,225.66

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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.