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Finding the Fourth Proportional to 8,692.16, 13,036 and 2,848.96

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Solution

The fourth proportional to 8,692.16, 13,036 and 2,848.96 is: 4,272.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,692.16 : 13,036 = 2,848.96 : x
  2. Step 2: Convert to fraction form
    8,692.16/13,036 = 2,848.96/x
  3. Step 3: Cross multiply
    8,692.16x = 13,036 × 2,848.96
  4. Step 4: Simplify right side
    8,692.16x = 37,139,042.56
  5. Step 5: Solve for x
    x = 37,139,042.56/8,692.16
  6. Step 6: Final answer
    x = 4,272.71

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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.