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Finding the Fourth Proportional to 7,976.64, 11,011.36 and 5,709.76

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Solution

The fourth proportional to 7,976.64, 11,011.36 and 5,709.76 is: 7,882.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.64 : 11,011.36 = 5,709.76 : x
  2. Step 2: Convert to fraction form
    7,976.64/11,011.36 = 5,709.76/x
  3. Step 3: Cross multiply
    7,976.64x = 11,011.36 × 5,709.76
  4. Step 4: Simplify right side
    7,976.64x = 62,872,222.87
  5. Step 5: Solve for x
    x = 62,872,222.87/7,976.64
  6. Step 6: Final answer
    x = 7,882.04

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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.