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Finding the Fourth Proportional to 7,976.71, 11,008.22 and 6,648.19

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Solution

The fourth proportional to 7,976.71, 11,008.22 and 6,648.19 is: 9,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.71 : 11,008.22 = 6,648.19 : x
  2. Step 2: Convert to fraction form
    7,976.71/11,008.22 = 6,648.19/x
  3. Step 3: Cross multiply
    7,976.71x = 11,008.22 × 6,648.19
  4. Step 4: Simplify right side
    7,976.71x = 73,184,738.12
  5. Step 5: Solve for x
    x = 73,184,738.12/7,976.71
  6. Step 6: Final answer
    x = 9,174.80

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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.