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Finding the Fourth Proportional to 10,209.66, 15,316.62 and 3,635.82

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Solution

The fourth proportional to 10,209.66, 15,316.62 and 3,635.82 is: 5,454.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,209.66 : 15,316.62 = 3,635.82 : x
  2. Step 2: Convert to fraction form
    10,209.66/15,316.62 = 3,635.82/x
  3. Step 3: Cross multiply
    10,209.66x = 15,316.62 × 3,635.82
  4. Step 4: Simplify right side
    10,209.66x = 55,688,473.33
  5. Step 5: Solve for x
    x = 55,688,473.33/10,209.66
  6. Step 6: Final answer
    x = 5,454.49

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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.