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Finding the Fourth Proportional to 10,712.52, 16,066.62 and 3,692.16

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Solution

The fourth proportional to 10,712.52, 16,066.62 and 3,692.16 is: 5,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.52 : 16,066.62 = 3,692.16 : x
  2. Step 2: Convert to fraction form
    10,712.52/16,066.62 = 3,692.16/x
  3. Step 3: Cross multiply
    10,712.52x = 16,066.62 × 3,692.16
  4. Step 4: Simplify right side
    10,712.52x = 59,320,531.70
  5. Step 5: Solve for x
    x = 59,320,531.70/10,712.52
  6. Step 6: Final answer
    x = 5,537.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.