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Finding the Fourth Proportional to 11,159.52, 16,743.32 and 4,234

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Solution

The fourth proportional to 11,159.52, 16,743.32 and 4,234 is: 6,352.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,159.52 : 16,743.32 = 4,234 : x
  2. Step 2: Convert to fraction form
    11,159.52/16,743.32 = 4,234/x
  3. Step 3: Cross multiply
    11,159.52x = 16,743.32 × 4,234
  4. Step 4: Simplify right side
    11,159.52x = 70,891,216.88
  5. Step 5: Solve for x
    x = 70,891,216.88/11,159.52
  6. Step 6: Final answer
    x = 6,352.53

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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.