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Finding the Fourth Proportional to 7,887.84, 11,830.44 and 2,889.18

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Solution

The fourth proportional to 7,887.84, 11,830.44 and 2,889.18 is: 4,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.84 : 11,830.44 = 2,889.18 : x
  2. Step 2: Convert to fraction form
    7,887.84/11,830.44 = 2,889.18/x
  3. Step 3: Cross multiply
    7,887.84x = 11,830.44 × 2,889.18
  4. Step 4: Simplify right side
    7,887.84x = 34,180,270.64
  5. Step 5: Solve for x
    x = 34,180,270.64/7,887.84
  6. Step 6: Final answer
    x = 4,333.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.