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Finding the Fourth Proportional to 7,180.54, 9,906.32 and 5,296.66

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Solution

The fourth proportional to 7,180.54, 9,906.32 and 5,296.66 is: 7,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.54 : 9,906.32 = 5,296.66 : x
  2. Step 2: Convert to fraction form
    7,180.54/9,906.32 = 5,296.66/x
  3. Step 3: Cross multiply
    7,180.54x = 9,906.32 × 5,296.66
  4. Step 4: Simplify right side
    7,180.54x = 52,470,332.88
  5. Step 5: Solve for x
    x = 52,470,332.88/7,180.54
  6. Step 6: Final answer
    x = 7,307.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.