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Finding the Fourth Proportional to 7,672.78, 11,509.17 and 3,059.02

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Solution

The fourth proportional to 7,672.78, 11,509.17 and 3,059.02 is: 4,588.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,672.78 : 11,509.17 = 3,059.02 : x
  2. Step 2: Convert to fraction form
    7,672.78/11,509.17 = 3,059.02/x
  3. Step 3: Cross multiply
    7,672.78x = 11,509.17 × 3,059.02
  4. Step 4: Simplify right side
    7,672.78x = 35,206,801.34
  5. Step 5: Solve for x
    x = 35,206,801.34/7,672.78
  6. Step 6: Final answer
    x = 4,588.53

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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.