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Finding the Fourth Proportional to 10,760.58, 16,141.26 and 2,970

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Solution

The fourth proportional to 10,760.58, 16,141.26 and 2,970 is: 4,455.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.58 : 16,141.26 = 2,970 : x
  2. Step 2: Convert to fraction form
    10,760.58/16,141.26 = 2,970/x
  3. Step 3: Cross multiply
    10,760.58x = 16,141.26 × 2,970
  4. Step 4: Simplify right side
    10,760.58x = 47,939,542.20
  5. Step 5: Solve for x
    x = 47,939,542.20/10,760.58
  6. Step 6: Final answer
    x = 4,455.11

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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.