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Finding the Fourth Proportional to 11,034.12, 16,551.18 and 4,107

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Solution

The fourth proportional to 11,034.12, 16,551.18 and 4,107 is: 6,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,034.12 : 16,551.18 = 4,107 : x
  2. Step 2: Convert to fraction form
    11,034.12/16,551.18 = 4,107/x
  3. Step 3: Cross multiply
    11,034.12x = 16,551.18 × 4,107
  4. Step 4: Simplify right side
    11,034.12x = 67,975,696.26
  5. Step 5: Solve for x
    x = 67,975,696.26/11,034.12
  6. Step 6: Final answer
    x = 6,160.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.