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Finding the Fourth Proportional to 7,715.52, 11,573.78 and 3,098.52

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Solution

The fourth proportional to 7,715.52, 11,573.78 and 3,098.52 is: 4,647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,715.52 : 11,573.78 = 3,098.52 : x
  2. Step 2: Convert to fraction form
    7,715.52/11,573.78 = 3,098.52/x
  3. Step 3: Cross multiply
    7,715.52x = 11,573.78 × 3,098.52
  4. Step 4: Simplify right side
    7,715.52x = 35,861,588.81
  5. Step 5: Solve for x
    x = 35,861,588.81/7,715.52
  6. Step 6: Final answer
    x = 4,647.98

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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.