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Finding the Fourth Proportional to 7,402.82, 11,121.46 and 7,004.70

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Solution

The fourth proportional to 7,402.82, 11,121.46 and 7,004.70 is: 10,523.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,402.82 : 11,121.46 = 7,004.70 : x
  2. Step 2: Convert to fraction form
    7,402.82/11,121.46 = 7,004.70/x
  3. Step 3: Cross multiply
    7,402.82x = 11,121.46 × 7,004.70
  4. Step 4: Simplify right side
    7,402.82x = 77,902,490.86
  5. Step 5: Solve for x
    x = 77,902,490.86/7,402.82
  6. Step 6: Final answer
    x = 10,523.35

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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.