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Finding the Fourth Proportional to 7,715.58, 11,572.78 and 2,785.22

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Solution

The fourth proportional to 7,715.58, 11,572.78 and 2,785.22 is: 4,177.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.58 : 11,572.78 = 2,785.22 : x
  2. Step 2: Convert to fraction form
    7,715.58/11,572.78 = 2,785.22/x
  3. Step 3: Cross multiply
    7,715.58x = 11,572.78 × 2,785.22
  4. Step 4: Simplify right side
    7,715.58x = 32,232,738.31
  5. Step 5: Solve for x
    x = 32,232,738.31/7,715.58
  6. Step 6: Final answer
    x = 4,177.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.