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Finding the Fourth Proportional to 10,979.84, 16,460.53 and 8,894.67

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Solution

The fourth proportional to 10,979.84, 16,460.53 and 8,894.67 is: 13,334.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,979.84 : 16,460.53 = 8,894.67 : x
  2. Step 2: Convert to fraction form
    10,979.84/16,460.53 = 8,894.67/x
  3. Step 3: Cross multiply
    10,979.84x = 16,460.53 × 8,894.67
  4. Step 4: Simplify right side
    10,979.84x = 146,410,982.38
  5. Step 5: Solve for x
    x = 146,410,982.38/10,979.84
  6. Step 6: Final answer
    x = 13,334.53

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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.