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Finding the Fourth Proportional to 6,000.66, 8,279.01 and 4,138.74

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Solution

The fourth proportional to 6,000.66, 8,279.01 and 4,138.74 is: 5,710.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.66 : 8,279.01 = 4,138.74 : x
  2. Step 2: Convert to fraction form
    6,000.66/8,279.01 = 4,138.74/x
  3. Step 3: Cross multiply
    6,000.66x = 8,279.01 × 4,138.74
  4. Step 4: Simplify right side
    6,000.66x = 34,264,669.85
  5. Step 5: Solve for x
    x = 34,264,669.85/6,000.66
  6. Step 6: Final answer
    x = 5,710.15

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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.