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Finding the Fourth Proportional to 11,002.83, 15,184.04 and 6,034.83

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Solution

The fourth proportional to 11,002.83, 15,184.04 and 6,034.83 is: 8,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002.83 : 15,184.04 = 6,034.83 : x
  2. Step 2: Convert to fraction form
    11,002.83/15,184.04 = 6,034.83/x
  3. Step 3: Cross multiply
    11,002.83x = 15,184.04 × 6,034.83
  4. Step 4: Simplify right side
    11,002.83x = 91,633,069.94
  5. Step 5: Solve for x
    x = 91,633,069.94/11,002.83
  6. Step 6: Final answer
    x = 8,328.14

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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.