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Finding the Fourth Proportional to 7,420.83, 11,078.20 and 7,161.24

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Solution

The fourth proportional to 7,420.83, 11,078.20 and 7,161.24 is: 10,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,420.83 : 11,078.20 = 7,161.24 : x
  2. Step 2: Convert to fraction form
    7,420.83/11,078.20 = 7,161.24/x
  3. Step 3: Cross multiply
    7,420.83x = 11,078.20 × 7,161.24
  4. Step 4: Simplify right side
    7,420.83x = 79,333,648.97
  5. Step 5: Solve for x
    x = 79,333,648.97/7,420.83
  6. Step 6: Final answer
    x = 10,690.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.