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Finding the Fourth Proportional to 7,260.20, 10,019.19 and 4,116.39

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Solution

The fourth proportional to 7,260.20, 10,019.19 and 4,116.39 is: 5,680.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,260.20 : 10,019.19 = 4,116.39 : x
  2. Step 2: Convert to fraction form
    7,260.20/10,019.19 = 4,116.39/x
  3. Step 3: Cross multiply
    7,260.20x = 10,019.19 × 4,116.39
  4. Step 4: Simplify right side
    7,260.20x = 41,242,893.52
  5. Step 5: Solve for x
    x = 41,242,893.52/7,260.20
  6. Step 6: Final answer
    x = 5,680.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.