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Finding the Fourth Proportional to 6,995.92, 10,486.53 and 3,099.40

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Solution

The fourth proportional to 6,995.92, 10,486.53 and 3,099.40 is: 4,645.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,995.92 : 10,486.53 = 3,099.40 : x
  2. Step 2: Convert to fraction form
    6,995.92/10,486.53 = 3,099.40/x
  3. Step 3: Cross multiply
    6,995.92x = 10,486.53 × 3,099.40
  4. Step 4: Simplify right side
    6,995.92x = 32,501,951.08
  5. Step 5: Solve for x
    x = 32,501,951.08/6,995.92
  6. Step 6: Final answer
    x = 4,645.84

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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.