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Finding the Fourth Proportional to 10,750.29, 16,128.42 and 4,508.83

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Solution

The fourth proportional to 10,750.29, 16,128.42 and 4,508.83 is: 6,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,750.29 : 16,128.42 = 4,508.83 : x
  2. Step 2: Convert to fraction form
    10,750.29/16,128.42 = 4,508.83/x
  3. Step 3: Cross multiply
    10,750.29x = 16,128.42 × 4,508.83
  4. Step 4: Simplify right side
    10,750.29x = 72,720,307.20
  5. Step 5: Solve for x
    x = 72,720,307.20/10,750.29
  6. Step 6: Final answer
    x = 6,764.50

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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.