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Finding the Fourth Proportional to 6,989.88, 10,477.80 and 3,294.12

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Solution

The fourth proportional to 6,989.88, 10,477.80 and 3,294.12 is: 4,937.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.88 : 10,477.80 = 3,294.12 : x
  2. Step 2: Convert to fraction form
    6,989.88/10,477.80 = 3,294.12/x
  3. Step 3: Cross multiply
    6,989.88x = 10,477.80 × 3,294.12
  4. Step 4: Simplify right side
    6,989.88x = 34,515,130.54
  5. Step 5: Solve for x
    x = 34,515,130.54/6,989.88
  6. Step 6: Final answer
    x = 4,937.87

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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.