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Finding the Fourth Proportional to 11,770.35, 17,639.94 and 5,519.17

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Solution

The fourth proportional to 11,770.35, 17,639.94 and 5,519.17 is: 8,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.35 : 17,639.94 = 5,519.17 : x
  2. Step 2: Convert to fraction form
    11,770.35/17,639.94 = 5,519.17/x
  3. Step 3: Cross multiply
    11,770.35x = 17,639.94 × 5,519.17
  4. Step 4: Simplify right side
    11,770.35x = 97,357,827.65
  5. Step 5: Solve for x
    x = 97,357,827.65/11,770.35
  6. Step 6: Final answer
    x = 8,271.45

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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.