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Finding the Fourth Proportional to 10,692.16, 14,754.74 and 6,215.70

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Solution

The fourth proportional to 10,692.16, 14,754.74 and 6,215.70 is: 8,577.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692.16 : 14,754.74 = 6,215.70 : x
  2. Step 2: Convert to fraction form
    10,692.16/14,754.74 = 6,215.70/x
  3. Step 3: Cross multiply
    10,692.16x = 14,754.74 × 6,215.70
  4. Step 4: Simplify right side
    10,692.16x = 91,711,037.42
  5. Step 5: Solve for x
    x = 91,711,037.42/10,692.16
  6. Step 6: Final answer
    x = 8,577.41

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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.