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Finding the Fourth Proportional to 7,872.83, 10,865.28 and 5,879.93

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Solution

The fourth proportional to 7,872.83, 10,865.28 and 5,879.93 is: 8,114.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.83 : 10,865.28 = 5,879.93 : x
  2. Step 2: Convert to fraction form
    7,872.83/10,865.28 = 5,879.93/x
  3. Step 3: Cross multiply
    7,872.83x = 10,865.28 × 5,879.93
  4. Step 4: Simplify right side
    7,872.83x = 63,887,081.60
  5. Step 5: Solve for x
    x = 63,887,081.60/7,872.83
  6. Step 6: Final answer
    x = 8,114.88

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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.