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Finding the Fourth Proportional to 11,140.45, 16,715.28 and 5,213

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Solution

The fourth proportional to 11,140.45, 16,715.28 and 5,213 is: 7,821.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,140.45 : 16,715.28 = 5,213 : x
  2. Step 2: Convert to fraction form
    11,140.45/16,715.28 = 5,213/x
  3. Step 3: Cross multiply
    11,140.45x = 16,715.28 × 5,213
  4. Step 4: Simplify right side
    11,140.45x = 87,136,754.64
  5. Step 5: Solve for x
    x = 87,136,754.64/11,140.45
  6. Step 6: Final answer
    x = 7,821.65

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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.