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Finding the Fourth Proportional to 10,511.52, 14,504.82 and 6,034.20

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Solution

The fourth proportional to 10,511.52, 14,504.82 and 6,034.20 is: 8,326.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.52 : 14,504.82 = 6,034.20 : x
  2. Step 2: Convert to fraction form
    10,511.52/14,504.82 = 6,034.20/x
  3. Step 3: Cross multiply
    10,511.52x = 14,504.82 × 6,034.20
  4. Step 4: Simplify right side
    10,511.52x = 87,524,984.84
  5. Step 5: Solve for x
    x = 87,524,984.84/10,511.52
  6. Step 6: Final answer
    x = 8,326.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.