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Finding the Fourth Proportional to 7,286.86, 10,054.13 and 5,293.96

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Solution

The fourth proportional to 7,286.86, 10,054.13 and 5,293.96 is: 7,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286.86 : 10,054.13 = 5,293.96 : x
  2. Step 2: Convert to fraction form
    7,286.86/10,054.13 = 5,293.96/x
  3. Step 3: Cross multiply
    7,286.86x = 10,054.13 × 5,293.96
  4. Step 4: Simplify right side
    7,286.86x = 53,226,110.45
  5. Step 5: Solve for x
    x = 53,226,110.45/7,286.86
  6. Step 6: Final answer
    x = 7,304.39

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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.