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Finding the Fourth Proportional to 7,802.24, 11,685.78 and 5,472.62

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Solution

The fourth proportional to 7,802.24, 11,685.78 and 5,472.62 is: 8,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.24 : 11,685.78 = 5,472.62 : x
  2. Step 2: Convert to fraction form
    7,802.24/11,685.78 = 5,472.62/x
  3. Step 3: Cross multiply
    7,802.24x = 11,685.78 × 5,472.62
  4. Step 4: Simplify right side
    7,802.24x = 63,951,833.34
  5. Step 5: Solve for x
    x = 63,951,833.34/7,802.24
  6. Step 6: Final answer
    x = 8,196.60

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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.