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Finding the Fourth Proportional to 6,997.32, 10,492.91 and 3,709.67

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Solution

The fourth proportional to 6,997.32, 10,492.91 and 3,709.67 is: 5,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997.32 : 10,492.91 = 3,709.67 : x
  2. Step 2: Convert to fraction form
    6,997.32/10,492.91 = 3,709.67/x
  3. Step 3: Cross multiply
    6,997.32x = 10,492.91 × 3,709.67
  4. Step 4: Simplify right side
    6,997.32x = 38,925,176.34
  5. Step 5: Solve for x
    x = 38,925,176.34/6,997.32
  6. Step 6: Final answer
    x = 5,562.87

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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.