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Finding the Fourth Proportional to 7,866.27, 10,859.16 and 5,037.75

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Solution

The fourth proportional to 7,866.27, 10,859.16 and 5,037.75 is: 6,954.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.27 : 10,859.16 = 5,037.75 : x
  2. Step 2: Convert to fraction form
    7,866.27/10,859.16 = 5,037.75/x
  3. Step 3: Cross multiply
    7,866.27x = 10,859.16 × 5,037.75
  4. Step 4: Simplify right side
    7,866.27x = 54,705,733.29
  5. Step 5: Solve for x
    x = 54,705,733.29/7,866.27
  6. Step 6: Final answer
    x = 6,954.47

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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.