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Finding the Fourth Proportional to 12,749.09, 17,592.81 and 7,716.11

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Solution

The fourth proportional to 12,749.09, 17,592.81 and 7,716.11 is: 10,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749.09 : 17,592.81 = 7,716.11 : x
  2. Step 2: Convert to fraction form
    12,749.09/17,592.81 = 7,716.11/x
  3. Step 3: Cross multiply
    12,749.09x = 17,592.81 × 7,716.11
  4. Step 4: Simplify right side
    12,749.09x = 135,748,057.17
  5. Step 5: Solve for x
    x = 135,748,057.17/12,749.09
  6. Step 6: Final answer
    x = 10,647.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.