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Finding the Fourth Proportional to 10,561.82, 15,842.72 and 3,166.11

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Solution

The fourth proportional to 10,561.82, 15,842.72 and 3,166.11 is: 4,749.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.82 : 15,842.72 = 3,166.11 : x
  2. Step 2: Convert to fraction form
    10,561.82/15,842.72 = 3,166.11/x
  3. Step 3: Cross multiply
    10,561.82x = 15,842.72 × 3,166.11
  4. Step 4: Simplify right side
    10,561.82x = 50,159,802.13
  5. Step 5: Solve for x
    x = 50,159,802.13/10,561.82
  6. Step 6: Final answer
    x = 4,749.17

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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.