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Finding the Fourth Proportional to 6,989.92, 10,478.40 and 3,477.76

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Solution

The fourth proportional to 6,989.92, 10,478.40 and 3,477.76 is: 5,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.92 : 10,478.40 = 3,477.76 : x
  2. Step 2: Convert to fraction form
    6,989.92/10,478.40 = 3,477.76/x
  3. Step 3: Cross multiply
    6,989.92x = 10,478.40 × 3,477.76
  4. Step 4: Simplify right side
    6,989.92x = 36,441,360.38
  5. Step 5: Solve for x
    x = 36,441,360.38/6,989.92
  6. Step 6: Final answer
    x = 5,213.42

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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.