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Finding the Fourth Proportional to 7,456.83, 10,290.21 and 4,099.64

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Solution

The fourth proportional to 7,456.83, 10,290.21 and 4,099.64 is: 5,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,456.83 : 10,290.21 = 4,099.64 : x
  2. Step 2: Convert to fraction form
    7,456.83/10,290.21 = 4,099.64/x
  3. Step 3: Cross multiply
    7,456.83x = 10,290.21 × 4,099.64
  4. Step 4: Simplify right side
    7,456.83x = 42,186,105.07
  5. Step 5: Solve for x
    x = 42,186,105.07/7,456.83
  6. Step 6: Final answer
    x = 5,657.38

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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.