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Finding the Fourth Proportional to 7,817, 10,792.10 and 5,957.48

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Solution

The fourth proportional to 7,817, 10,792.10 and 5,957.48 is: 8,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817 : 10,792.10 = 5,957.48 : x
  2. Step 2: Convert to fraction form
    7,817/10,792.10 = 5,957.48/x
  3. Step 3: Cross multiply
    7,817x = 10,792.10 × 5,957.48
  4. Step 4: Simplify right side
    7,817x = 64,293,719.91
  5. Step 5: Solve for x
    x = 64,293,719.91/7,817
  6. Step 6: Final answer
    x = 8,224.86

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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.