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Finding the Fourth Proportional to 10,993.68, 16,492.99 and 3,497.67

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Solution

The fourth proportional to 10,993.68, 16,492.99 and 3,497.67 is: 5,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.68 : 16,492.99 = 3,497.67 : x
  2. Step 2: Convert to fraction form
    10,993.68/16,492.99 = 3,497.67/x
  3. Step 3: Cross multiply
    10,993.68x = 16,492.99 × 3,497.67
  4. Step 4: Simplify right side
    10,993.68x = 57,687,068.82
  5. Step 5: Solve for x
    x = 57,687,068.82/10,993.68
  6. Step 6: Final answer
    x = 5,247.29

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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.