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Finding the Fourth Proportional to 11,002.32, 15,182.92 and 6,034

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Solution

The fourth proportional to 11,002.32, 15,182.92 and 6,034 is: 8,326.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.32 : 15,182.92 = 6,034 : x
  2. Step 2: Convert to fraction form
    11,002.32/15,182.92 = 6,034/x
  3. Step 3: Cross multiply
    11,002.32x = 15,182.92 × 6,034
  4. Step 4: Simplify right side
    11,002.32x = 91,613,739.28
  5. Step 5: Solve for x
    x = 91,613,739.28/11,002.32
  6. Step 6: Final answer
    x = 8,326.77

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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.