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Finding the Fourth Proportional to 11,678.65, 17,516.08 and 3,356.76

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Solution

The fourth proportional to 11,678.65, 17,516.08 and 3,356.76 is: 5,034.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,678.65 : 17,516.08 = 3,356.76 : x
  2. Step 2: Convert to fraction form
    11,678.65/17,516.08 = 3,356.76/x
  3. Step 3: Cross multiply
    11,678.65x = 17,516.08 × 3,356.76
  4. Step 4: Simplify right side
    11,678.65x = 58,797,276.70
  5. Step 5: Solve for x
    x = 58,797,276.70/11,678.65
  6. Step 6: Final answer
    x = 5,034.60

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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.