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Finding the Fourth Proportional to 7,918.24, 11,867.64 and 6,946.24

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Solution

The fourth proportional to 7,918.24, 11,867.64 and 6,946.24 is: 10,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.24 : 11,867.64 = 6,946.24 : x
  2. Step 2: Convert to fraction form
    7,918.24/11,867.64 = 6,946.24/x
  3. Step 3: Cross multiply
    7,918.24x = 11,867.64 × 6,946.24
  4. Step 4: Simplify right side
    7,918.24x = 82,435,475.67
  5. Step 5: Solve for x
    x = 82,435,475.67/7,918.24
  6. Step 6: Final answer
    x = 10,410.83

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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.