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Finding the Fourth Proportional to 10,536.99, 15,805.62 and 3,141.69

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Solution

The fourth proportional to 10,536.99, 15,805.62 and 3,141.69 is: 4,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.99 : 15,805.62 = 3,141.69 : x
  2. Step 2: Convert to fraction form
    10,536.99/15,805.62 = 3,141.69/x
  3. Step 3: Cross multiply
    10,536.99x = 15,805.62 × 3,141.69
  4. Step 4: Simplify right side
    10,536.99x = 49,656,358.30
  5. Step 5: Solve for x
    x = 49,656,358.30/10,536.99
  6. Step 6: Final answer
    x = 4,712.58

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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.