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Finding the Fourth Proportional to 7,615.26, 10,508.40 and 4,212.09

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Solution

The fourth proportional to 7,615.26, 10,508.40 and 4,212.09 is: 5,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,615.26 : 10,508.40 = 4,212.09 : x
  2. Step 2: Convert to fraction form
    7,615.26/10,508.40 = 4,212.09/x
  3. Step 3: Cross multiply
    7,615.26x = 10,508.40 × 4,212.09
  4. Step 4: Simplify right side
    7,615.26x = 44,262,326.56
  5. Step 5: Solve for x
    x = 44,262,326.56/7,615.26
  6. Step 6: Final answer
    x = 5,812.32

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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.