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Finding the Fourth Proportional to 10,692.25, 14,760.46 and 7,113.17

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Solution

The fourth proportional to 10,692.25, 14,760.46 and 7,113.17 is: 9,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.25 : 14,760.46 = 7,113.17 : x
  2. Step 2: Convert to fraction form
    10,692.25/14,760.46 = 7,113.17/x
  3. Step 3: Cross multiply
    10,692.25x = 14,760.46 × 7,113.17
  4. Step 4: Simplify right side
    10,692.25x = 104,993,703.27
  5. Step 5: Solve for x
    x = 104,993,703.27/10,692.25
  6. Step 6: Final answer
    x = 9,819.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.