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Finding the Fourth Proportional to 8,692.83, 12,975.60 and 7,468.11

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Solution

The fourth proportional to 8,692.83, 12,975.60 and 7,468.11 is: 11,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.83 : 12,975.60 = 7,468.11 : x
  2. Step 2: Convert to fraction form
    8,692.83/12,975.60 = 7,468.11/x
  3. Step 3: Cross multiply
    8,692.83x = 12,975.60 × 7,468.11
  4. Step 4: Simplify right side
    8,692.83x = 96,903,208.12
  5. Step 5: Solve for x
    x = 96,903,208.12/8,692.83
  6. Step 6: Final answer
    x = 11,147.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.