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Finding the Fourth Proportional to 7,486.56, 10,331.37 and 4,129.31

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Solution

The fourth proportional to 7,486.56, 10,331.37 and 4,129.31 is: 5,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.56 : 10,331.37 = 4,129.31 : x
  2. Step 2: Convert to fraction form
    7,486.56/10,331.37 = 4,129.31/x
  3. Step 3: Cross multiply
    7,486.56x = 10,331.37 × 4,129.31
  4. Step 4: Simplify right side
    7,486.56x = 42,661,403.63
  5. Step 5: Solve for x
    x = 42,661,403.63/7,486.56
  6. Step 6: Final answer
    x = 5,698.40

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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.