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Finding the Fourth Proportional to 7,917.28, 10,927.18 and 4,562.04

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Solution

The fourth proportional to 7,917.28, 10,927.18 and 4,562.04 is: 6,296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,917.28 : 10,927.18 = 4,562.04 : x
  2. Step 2: Convert to fraction form
    7,917.28/10,927.18 = 4,562.04/x
  3. Step 3: Cross multiply
    7,917.28x = 10,927.18 × 4,562.04
  4. Step 4: Simplify right side
    7,917.28x = 49,850,232.25
  5. Step 5: Solve for x
    x = 49,850,232.25/7,917.28
  6. Step 6: Final answer
    x = 6,296.38

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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.