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Finding the Fourth Proportional to 10,636.53, 15,960.84 and 10,066.47

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Solution

The fourth proportional to 10,636.53, 15,960.84 and 10,066.47 is: 15,105.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,636.53 : 15,960.84 = 10,066.47 : x
  2. Step 2: Convert to fraction form
    10,636.53/15,960.84 = 10,066.47/x
  3. Step 3: Cross multiply
    10,636.53x = 15,960.84 × 10,066.47
  4. Step 4: Simplify right side
    10,636.53x = 160,669,317.03
  5. Step 5: Solve for x
    x = 160,669,317.03/10,636.53
  6. Step 6: Final answer
    x = 15,105.43

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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.