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Finding the Fourth Proportional to 8,243.68, 11,376.20 and 4,706.64

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Solution

The fourth proportional to 8,243.68, 11,376.20 and 4,706.64 is: 6,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,243.68 : 11,376.20 = 4,706.64 : x
  2. Step 2: Convert to fraction form
    8,243.68/11,376.20 = 4,706.64/x
  3. Step 3: Cross multiply
    8,243.68x = 11,376.20 × 4,706.64
  4. Step 4: Simplify right side
    8,243.68x = 53,543,677.97
  5. Step 5: Solve for x
    x = 53,543,677.97/8,243.68
  6. Step 6: Final answer
    x = 6,495.12

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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.