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Finding the Fourth Proportional to 8,997.58, 12,416.07 and 5,640.25

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Solution

The fourth proportional to 8,997.58, 12,416.07 and 5,640.25 is: 7,783.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,997.58 : 12,416.07 = 5,640.25 : x
  2. Step 2: Convert to fraction form
    8,997.58/12,416.07 = 5,640.25/x
  3. Step 3: Cross multiply
    8,997.58x = 12,416.07 × 5,640.25
  4. Step 4: Simplify right side
    8,997.58x = 70,029,738.82
  5. Step 5: Solve for x
    x = 70,029,738.82/8,997.58
  6. Step 6: Final answer
    x = 7,783.17

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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.