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Finding the Fourth Proportional to 11,782.38, 17,672.52 and 7,070.76

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Solution

The fourth proportional to 11,782.38, 17,672.52 and 7,070.76 is: 10,605.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,782.38 : 17,672.52 = 7,070.76 : x
  2. Step 2: Convert to fraction form
    11,782.38/17,672.52 = 7,070.76/x
  3. Step 3: Cross multiply
    11,782.38x = 17,672.52 × 7,070.76
  4. Step 4: Simplify right side
    11,782.38x = 124,958,147.52
  5. Step 5: Solve for x
    x = 124,958,147.52/11,782.38
  6. Step 6: Final answer
    x = 10,605.51

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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.