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Finding the Fourth Proportional to 10,245.04, 15,366.96 and 3,319

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Solution

The fourth proportional to 10,245.04, 15,366.96 and 3,319 is: 4,978.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,245.04 : 15,366.96 = 3,319 : x
  2. Step 2: Convert to fraction form
    10,245.04/15,366.96 = 3,319/x
  3. Step 3: Cross multiply
    10,245.04x = 15,366.96 × 3,319
  4. Step 4: Simplify right side
    10,245.04x = 51,002,940.24
  5. Step 5: Solve for x
    x = 51,002,940.24/10,245.04
  6. Step 6: Final answer
    x = 4,978.31

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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.