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Finding the Fourth Proportional to 6,989.97, 10,477.38 and 3,482.60

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Solution

The fourth proportional to 6,989.97, 10,477.38 and 3,482.60 is: 5,220.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.97 : 10,477.38 = 3,482.60 : x
  2. Step 2: Convert to fraction form
    6,989.97/10,477.38 = 3,482.60/x
  3. Step 3: Cross multiply
    6,989.97x = 10,477.38 × 3,482.60
  4. Step 4: Simplify right side
    6,989.97x = 36,488,454.88
  5. Step 5: Solve for x
    x = 36,488,454.88/6,989.97
  6. Step 6: Final answer
    x = 5,220.12

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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.