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Finding the Fourth Proportional to 7,805.52, 11,706.72 and 2,873.48

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Solution

The fourth proportional to 7,805.52, 11,706.72 and 2,873.48 is: 4,309.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.52 : 11,706.72 = 2,873.48 : x
  2. Step 2: Convert to fraction form
    7,805.52/11,706.72 = 2,873.48/x
  3. Step 3: Cross multiply
    7,805.52x = 11,706.72 × 2,873.48
  4. Step 4: Simplify right side
    7,805.52x = 33,639,025.79
  5. Step 5: Solve for x
    x = 33,639,025.79/7,805.52
  6. Step 6: Final answer
    x = 4,309.65

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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.