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Finding the Fourth Proportional to 10,811.84, 14,920.28 and 6,096.16

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Solution

The fourth proportional to 10,811.84, 14,920.28 and 6,096.16 is: 8,412.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.84 : 14,920.28 = 6,096.16 : x
  2. Step 2: Convert to fraction form
    10,811.84/14,920.28 = 6,096.16/x
  3. Step 3: Cross multiply
    10,811.84x = 14,920.28 × 6,096.16
  4. Step 4: Simplify right side
    10,811.84x = 90,956,414.12
  5. Step 5: Solve for x
    x = 90,956,414.12/10,811.84
  6. Step 6: Final answer
    x = 8,412.67

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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.