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Finding the Fourth Proportional to 10,353.72, 15,511.14 and 8,033.88

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Solution

The fourth proportional to 10,353.72, 15,511.14 and 8,033.88 is: 12,035.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,353.72 : 15,511.14 = 8,033.88 : x
  2. Step 2: Convert to fraction form
    10,353.72/15,511.14 = 8,033.88/x
  3. Step 3: Cross multiply
    10,353.72x = 15,511.14 × 8,033.88
  4. Step 4: Simplify right side
    10,353.72x = 124,614,637.42
  5. Step 5: Solve for x
    x = 124,614,637.42/10,353.72
  6. Step 6: Final answer
    x = 12,035.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.