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Finding the Fourth Proportional to 7,918.56, 10,917.68 and 5,792.38

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Solution

The fourth proportional to 7,918.56, 10,917.68 and 5,792.38 is: 7,986.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.56 : 10,917.68 = 5,792.38 : x
  2. Step 2: Convert to fraction form
    7,918.56/10,917.68 = 5,792.38/x
  3. Step 3: Cross multiply
    7,918.56x = 10,917.68 × 5,792.38
  4. Step 4: Simplify right side
    7,918.56x = 63,239,295.02
  5. Step 5: Solve for x
    x = 63,239,295.02/7,918.56
  6. Step 6: Final answer
    x = 7,986.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.