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Finding the Fourth Proportional to 10,994.57, 16,495.50 and 7,311.30

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Solution

The fourth proportional to 10,994.57, 16,495.50 and 7,311.30 is: 10,969.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994.57 : 16,495.50 = 7,311.30 : x
  2. Step 2: Convert to fraction form
    10,994.57/16,495.50 = 7,311.30/x
  3. Step 3: Cross multiply
    10,994.57x = 16,495.50 × 7,311.30
  4. Step 4: Simplify right side
    10,994.57x = 120,603,549.15
  5. Step 5: Solve for x
    x = 120,603,549.15/10,994.57
  6. Step 6: Final answer
    x = 10,969.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.