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Finding the Fourth Proportional to 6,890.56, 9,511.20 and 4,057.76

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Solution

The fourth proportional to 6,890.56, 9,511.20 and 4,057.76 is: 5,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,890.56 : 9,511.20 = 4,057.76 : x
  2. Step 2: Convert to fraction form
    6,890.56/9,511.20 = 4,057.76/x
  3. Step 3: Cross multiply
    6,890.56x = 9,511.20 × 4,057.76
  4. Step 4: Simplify right side
    6,890.56x = 38,594,166.91
  5. Step 5: Solve for x
    x = 38,594,166.91/6,890.56
  6. Step 6: Final answer
    x = 5,601.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.