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Finding the Fourth Proportional to 8,749.84, 13,133.72 and 6,823.12

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Solution

The fourth proportional to 8,749.84, 13,133.72 and 6,823.12 is: 10,241.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,749.84 : 13,133.72 = 6,823.12 : x
  2. Step 2: Convert to fraction form
    8,749.84/13,133.72 = 6,823.12/x
  3. Step 3: Cross multiply
    8,749.84x = 13,133.72 × 6,823.12
  4. Step 4: Simplify right side
    8,749.84x = 89,612,947.61
  5. Step 5: Solve for x
    x = 89,612,947.61/8,749.84
  6. Step 6: Final answer
    x = 10,241.67

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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.