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Finding the Fourth Proportional to 8,346.39, 11,514.11 and 4,807.55

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Solution

The fourth proportional to 8,346.39, 11,514.11 and 4,807.55 is: 6,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.39 : 11,514.11 = 4,807.55 : x
  2. Step 2: Convert to fraction form
    8,346.39/11,514.11 = 4,807.55/x
  3. Step 3: Cross multiply
    8,346.39x = 11,514.11 × 4,807.55
  4. Step 4: Simplify right side
    8,346.39x = 55,354,577.92
  5. Step 5: Solve for x
    x = 55,354,577.92/8,346.39
  6. Step 6: Final answer
    x = 6,632.16

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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.