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Finding the Fourth Proportional to 7,445.82, 11,174.14 and 6,002.40

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Solution

The fourth proportional to 7,445.82, 11,174.14 and 6,002.40 is: 9,007.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,445.82 : 11,174.14 = 6,002.40 : x
  2. Step 2: Convert to fraction form
    7,445.82/11,174.14 = 6,002.40/x
  3. Step 3: Cross multiply
    7,445.82x = 11,174.14 × 6,002.40
  4. Step 4: Simplify right side
    7,445.82x = 67,071,657.94
  5. Step 5: Solve for x
    x = 67,071,657.94/7,445.82
  6. Step 6: Final answer
    x = 9,007.96

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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.