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Finding the Fourth Proportional to 10,689.65, 16,034.69 and 3,669.62

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Solution

The fourth proportional to 10,689.65, 16,034.69 and 3,669.62 is: 5,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.65 : 16,034.69 = 3,669.62 : x
  2. Step 2: Convert to fraction form
    10,689.65/16,034.69 = 3,669.62/x
  3. Step 3: Cross multiply
    10,689.65x = 16,034.69 × 3,669.62
  4. Step 4: Simplify right side
    10,689.65x = 58,841,219.12
  5. Step 5: Solve for x
    x = 58,841,219.12/10,689.65
  6. Step 6: Final answer
    x = 5,504.50

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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.