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Finding the Fourth Proportional to 10,835.28, 16,228.80 and 8,352

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Solution

The fourth proportional to 10,835.28, 16,228.80 and 8,352 is: 12,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,835.28 : 16,228.80 = 8,352 : x
  2. Step 2: Convert to fraction form
    10,835.28/16,228.80 = 8,352/x
  3. Step 3: Cross multiply
    10,835.28x = 16,228.80 × 8,352
  4. Step 4: Simplify right side
    10,835.28x = 135,542,937.60
  5. Step 5: Solve for x
    x = 135,542,937.60/10,835.28
  6. Step 6: Final answer
    x = 12,509.41

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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.