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Finding the Fourth Proportional to 10,841.90, 16,251.76 and 6,152.00

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Solution

The fourth proportional to 10,841.90, 16,251.76 and 6,152.00 is: 9,221.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,841.90 : 16,251.76 = 6,152.00 : x
  2. Step 2: Convert to fraction form
    10,841.90/16,251.76 = 6,152.00/x
  3. Step 3: Cross multiply
    10,841.90x = 16,251.76 × 6,152.00
  4. Step 4: Simplify right side
    10,841.90x = 99,980,789.65
  5. Step 5: Solve for x
    x = 99,980,789.65/10,841.90
  6. Step 6: Final answer
    x = 9,221.71

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