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Finding the Fourth Proportional to 11,578.83, 17,328.74 and 7,359.95

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Solution

The fourth proportional to 11,578.83, 17,328.74 and 7,359.95 is: 11,014.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.83 : 17,328.74 = 7,359.95 : x
  2. Step 2: Convert to fraction form
    11,578.83/17,328.74 = 7,359.95/x
  3. Step 3: Cross multiply
    11,578.83x = 17,328.74 × 7,359.95
  4. Step 4: Simplify right side
    11,578.83x = 127,538,536.52
  5. Step 5: Solve for x
    x = 127,538,536.52/11,578.83
  6. Step 6: Final answer
    x = 11,014.80

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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.