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Finding the Fourth Proportional to 7,981.76, 11,009.21 and 6,917.64

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Solution

The fourth proportional to 7,981.76, 11,009.21 and 6,917.64 is: 9,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,981.76 : 11,009.21 = 6,917.64 : x
  2. Step 2: Convert to fraction form
    7,981.76/11,009.21 = 6,917.64/x
  3. Step 3: Cross multiply
    7,981.76x = 11,009.21 × 6,917.64
  4. Step 4: Simplify right side
    7,981.76x = 76,157,716.88
  5. Step 5: Solve for x
    x = 76,157,716.88/7,981.76
  6. Step 6: Final answer
    x = 9,541.48

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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.