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Finding the Fourth Proportional to 10,749.67, 16,130.07 and 7,812.34

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Solution

The fourth proportional to 10,749.67, 16,130.07 and 7,812.34 is: 11,722.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,749.67 : 16,130.07 = 7,812.34 : x
  2. Step 2: Convert to fraction form
    10,749.67/16,130.07 = 7,812.34/x
  3. Step 3: Cross multiply
    10,749.67x = 16,130.07 × 7,812.34
  4. Step 4: Simplify right side
    10,749.67x = 126,013,591.06
  5. Step 5: Solve for x
    x = 126,013,591.06/10,749.67
  6. Step 6: Final answer
    x = 11,722.55

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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.