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Finding the Fourth Proportional to 6,013.71, 8,991 and 5,099.49

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Solution

The fourth proportional to 6,013.71, 8,991 and 5,099.49 is: 7,624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.71 : 8,991 = 5,099.49 : x
  2. Step 2: Convert to fraction form
    6,013.71/8,991 = 5,099.49/x
  3. Step 3: Cross multiply
    6,013.71x = 8,991 × 5,099.49
  4. Step 4: Simplify right side
    6,013.71x = 45,849,514.59
  5. Step 5: Solve for x
    x = 45,849,514.59/6,013.71
  6. Step 6: Final answer
    x = 7,624.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.