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Finding the Fourth Proportional to 10,536.66, 15,806.50 and 3,143.38

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Solution

The fourth proportional to 10,536.66, 15,806.50 and 3,143.38 is: 4,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.66 : 15,806.50 = 3,143.38 : x
  2. Step 2: Convert to fraction form
    10,536.66/15,806.50 = 3,143.38/x
  3. Step 3: Cross multiply
    10,536.66x = 15,806.50 × 3,143.38
  4. Step 4: Simplify right side
    10,536.66x = 49,685,835.97
  5. Step 5: Solve for x
    x = 49,685,835.97/10,536.66
  6. Step 6: Final answer
    x = 4,715.52

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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.