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Finding the Fourth Proportional to 6,911.13, 10,358.02 and 2,957.75

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Solution

The fourth proportional to 6,911.13, 10,358.02 and 2,957.75 is: 4,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.13 : 10,358.02 = 2,957.75 : x
  2. Step 2: Convert to fraction form
    6,911.13/10,358.02 = 2,957.75/x
  3. Step 3: Cross multiply
    6,911.13x = 10,358.02 × 2,957.75
  4. Step 4: Simplify right side
    6,911.13x = 30,636,433.66
  5. Step 5: Solve for x
    x = 30,636,433.66/6,911.13
  6. Step 6: Final answer
    x = 4,432.91

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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.