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Finding the Fourth Proportional to 6,987.47, 10,477.86 and 3,286.58

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Solution

The fourth proportional to 6,987.47, 10,477.86 and 3,286.58 is: 4,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,987.47 : 10,477.86 = 3,286.58 : x
  2. Step 2: Convert to fraction form
    6,987.47/10,477.86 = 3,286.58/x
  3. Step 3: Cross multiply
    6,987.47x = 10,477.86 × 3,286.58
  4. Step 4: Simplify right side
    6,987.47x = 34,436,325.12
  5. Step 5: Solve for x
    x = 34,436,325.12/6,987.47
  6. Step 6: Final answer
    x = 4,928.30

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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.