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Finding the Fourth Proportional to 10,415.19, 15,611.85 and 6,466.44

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Solution

The fourth proportional to 10,415.19, 15,611.85 and 6,466.44 is: 9,692.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.19 : 15,611.85 = 6,466.44 : x
  2. Step 2: Convert to fraction form
    10,415.19/15,611.85 = 6,466.44/x
  3. Step 3: Cross multiply
    10,415.19x = 15,611.85 × 6,466.44
  4. Step 4: Simplify right side
    10,415.19x = 100,953,091.31
  5. Step 5: Solve for x
    x = 100,953,091.31/10,415.19
  6. Step 6: Final answer
    x = 9,692.87

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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.