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Finding the Fourth Proportional to 6,911.08, 10,364.22 and 2,293

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Solution

The fourth proportional to 6,911.08, 10,364.22 and 2,293 is: 3,438.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.08 : 10,364.22 = 2,293 : x
  2. Step 2: Convert to fraction form
    6,911.08/10,364.22 = 2,293/x
  3. Step 3: Cross multiply
    6,911.08x = 10,364.22 × 2,293
  4. Step 4: Simplify right side
    6,911.08x = 23,765,156.46
  5. Step 5: Solve for x
    x = 23,765,156.46/6,911.08
  6. Step 6: Final answer
    x = 3,438.70

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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.