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Finding the Fourth Proportional to 10,709.61, 16,062.28 and 3,312.28

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Solution

The fourth proportional to 10,709.61, 16,062.28 and 3,312.28 is: 4,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.61 : 16,062.28 = 3,312.28 : x
  2. Step 2: Convert to fraction form
    10,709.61/16,062.28 = 3,312.28/x
  3. Step 3: Cross multiply
    10,709.61x = 16,062.28 × 3,312.28
  4. Step 4: Simplify right side
    10,709.61x = 53,202,768.80
  5. Step 5: Solve for x
    x = 53,202,768.80/10,709.61
  6. Step 6: Final answer
    x = 4,967.76

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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.