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Finding the Fourth Proportional to 7,692.47, 10,615.62 and 4,155.68

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Solution

The fourth proportional to 7,692.47, 10,615.62 and 4,155.68 is: 5,734.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,692.47 : 10,615.62 = 4,155.68 : x
  2. Step 2: Convert to fraction form
    7,692.47/10,615.62 = 4,155.68/x
  3. Step 3: Cross multiply
    7,692.47x = 10,615.62 × 4,155.68
  4. Step 4: Simplify right side
    7,692.47x = 44,115,109.33
  5. Step 5: Solve for x
    x = 44,115,109.33/7,692.47
  6. Step 6: Final answer
    x = 5,734.84

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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.