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Finding the Fourth Proportional to 7,905.92, 11,853.11 and 4,569.46

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Solution

The fourth proportional to 7,905.92, 11,853.11 and 4,569.46 is: 6,850.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,905.92 : 11,853.11 = 4,569.46 : x
  2. Step 2: Convert to fraction form
    7,905.92/11,853.11 = 4,569.46/x
  3. Step 3: Cross multiply
    7,905.92x = 11,853.11 × 4,569.46
  4. Step 4: Simplify right side
    7,905.92x = 54,162,259.54
  5. Step 5: Solve for x
    x = 54,162,259.54/7,905.92
  6. Step 6: Final answer
    x = 6,850.85

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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.