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Finding the Fourth Proportional to 10,856.28, 14,982.39 and 6,076.67

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Solution

The fourth proportional to 10,856.28, 14,982.39 and 6,076.67 is: 8,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,856.28 : 14,982.39 = 6,076.67 : x
  2. Step 2: Convert to fraction form
    10,856.28/14,982.39 = 6,076.67/x
  3. Step 3: Cross multiply
    10,856.28x = 14,982.39 × 6,076.67
  4. Step 4: Simplify right side
    10,856.28x = 91,043,009.46
  5. Step 5: Solve for x
    x = 91,043,009.46/10,856.28
  6. Step 6: Final answer
    x = 8,386.21

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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.