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Finding the Fourth Proportional to 11,549.62, 17,319.84 and 4,151.80

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Solution

The fourth proportional to 11,549.62, 17,319.84 and 4,151.80 is: 6,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.62 : 17,319.84 = 4,151.80 : x
  2. Step 2: Convert to fraction form
    11,549.62/17,319.84 = 4,151.80/x
  3. Step 3: Cross multiply
    11,549.62x = 17,319.84 × 4,151.80
  4. Step 4: Simplify right side
    11,549.62x = 71,908,511.71
  5. Step 5: Solve for x
    x = 71,908,511.71/11,549.62
  6. Step 6: Final answer
    x = 6,226.05

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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.