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Finding the Fourth Proportional to 7,026.72, 10,538.46 and 3,129

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Solution

The fourth proportional to 7,026.72, 10,538.46 and 3,129 is: 4,692.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.72 : 10,538.46 = 3,129 : x
  2. Step 2: Convert to fraction form
    7,026.72/10,538.46 = 3,129/x
  3. Step 3: Cross multiply
    7,026.72x = 10,538.46 × 3,129
  4. Step 4: Simplify right side
    7,026.72x = 32,974,841.34
  5. Step 5: Solve for x
    x = 32,974,841.34/7,026.72
  6. Step 6: Final answer
    x = 4,692.78

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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.