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Finding the Fourth Proportional to 7,402.70, 11,108.10 and 3,023.30

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Solution

The fourth proportional to 7,402.70, 11,108.10 and 3,023.30 is: 4,536.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.70 : 11,108.10 = 3,023.30 : x
  2. Step 2: Convert to fraction form
    7,402.70/11,108.10 = 3,023.30/x
  3. Step 3: Cross multiply
    7,402.70x = 11,108.10 × 3,023.30
  4. Step 4: Simplify right side
    7,402.70x = 33,583,118.73
  5. Step 5: Solve for x
    x = 33,583,118.73/7,402.70
  6. Step 6: Final answer
    x = 4,536.60

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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.