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Finding the Fourth Proportional to 6,013.19, 8,289.83 and 5,182.74

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Solution

The fourth proportional to 6,013.19, 8,289.83 and 5,182.74 is: 7,144.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.19 : 8,289.83 = 5,182.74 : x
  2. Step 2: Convert to fraction form
    6,013.19/8,289.83 = 5,182.74/x
  3. Step 3: Cross multiply
    6,013.19x = 8,289.83 × 5,182.74
  4. Step 4: Simplify right side
    6,013.19x = 42,964,046.49
  5. Step 5: Solve for x
    x = 42,964,046.49/6,013.19
  6. Step 6: Final answer
    x = 7,144.96

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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.