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Finding the Fourth Proportional to 10,461.67, 15,692.63 and 3,066.28

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Solution

The fourth proportional to 10,461.67, 15,692.63 and 3,066.28 is: 4,599.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.67 : 15,692.63 = 3,066.28 : x
  2. Step 2: Convert to fraction form
    10,461.67/15,692.63 = 3,066.28/x
  3. Step 3: Cross multiply
    10,461.67x = 15,692.63 × 3,066.28
  4. Step 4: Simplify right side
    10,461.67x = 48,117,997.52
  5. Step 5: Solve for x
    x = 48,117,997.52/10,461.67
  6. Step 6: Final answer
    x = 4,599.46

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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.