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Finding the Fourth Proportional to 7,715.69, 11,573.51 and 2,785.33

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Solution

The fourth proportional to 7,715.69, 11,573.51 and 2,785.33 is: 4,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.69 : 11,573.51 = 2,785.33 : x
  2. Step 2: Convert to fraction form
    7,715.69/11,573.51 = 2,785.33/x
  3. Step 3: Cross multiply
    7,715.69x = 11,573.51 × 2,785.33
  4. Step 4: Simplify right side
    7,715.69x = 32,235,986.74
  5. Step 5: Solve for x
    x = 32,235,986.74/7,715.69
  6. Step 6: Final answer
    x = 4,177.98

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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.