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Finding the Fourth Proportional to 7,486.38, 10,339.56 and 5,827.74

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Solution

The fourth proportional to 7,486.38, 10,339.56 and 5,827.74 is: 8,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.38 : 10,339.56 = 5,827.74 : x
  2. Step 2: Convert to fraction form
    7,486.38/10,339.56 = 5,827.74/x
  3. Step 3: Cross multiply
    7,486.38x = 10,339.56 × 5,827.74
  4. Step 4: Simplify right side
    7,486.38x = 60,256,267.39
  5. Step 5: Solve for x
    x = 60,256,267.39/7,486.38
  6. Step 6: Final answer
    x = 8,048.79

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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.