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Finding the Fourth Proportional to 10,620.18, 15,930.24 and 2,829

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Solution

The fourth proportional to 10,620.18, 15,930.24 and 2,829 is: 4,243.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,620.18 : 15,930.24 = 2,829 : x
  2. Step 2: Convert to fraction form
    10,620.18/15,930.24 = 2,829/x
  3. Step 3: Cross multiply
    10,620.18x = 15,930.24 × 2,829
  4. Step 4: Simplify right side
    10,620.18x = 45,066,648.96
  5. Step 5: Solve for x
    x = 45,066,648.96/10,620.18
  6. Step 6: Final answer
    x = 4,243.49

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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.