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Finding the Fourth Proportional to 10,466.52, 15,665.60 and 7,692.46

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Solution

The fourth proportional to 10,466.52, 15,665.60 and 7,692.46 is: 11,513.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.52 : 15,665.60 = 7,692.46 : x
  2. Step 2: Convert to fraction form
    10,466.52/15,665.60 = 7,692.46/x
  3. Step 3: Cross multiply
    10,466.52x = 15,665.60 × 7,692.46
  4. Step 4: Simplify right side
    10,466.52x = 120,507,001.38
  5. Step 5: Solve for x
    x = 120,507,001.38/10,466.52
  6. Step 6: Final answer
    x = 11,513.57

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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.