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Finding the Fourth Proportional to 7,896.91, 10,896.80 and 4,710.38

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Solution

The fourth proportional to 7,896.91, 10,896.80 and 4,710.38 is: 6,499.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.91 : 10,896.80 = 4,710.38 : x
  2. Step 2: Convert to fraction form
    7,896.91/10,896.80 = 4,710.38/x
  3. Step 3: Cross multiply
    7,896.91x = 10,896.80 × 4,710.38
  4. Step 4: Simplify right side
    7,896.91x = 51,327,990.75
  5. Step 5: Solve for x
    x = 51,327,990.75/7,896.91
  6. Step 6: Final answer
    x = 6,499.76

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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.