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Finding the Fourth Proportional to 7,889.84, 11,830.64 and 2,342.42

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Solution

The fourth proportional to 7,889.84, 11,830.64 and 2,342.42 is: 3,512.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.84 : 11,830.64 = 2,342.42 : x
  2. Step 2: Convert to fraction form
    7,889.84/11,830.64 = 2,342.42/x
  3. Step 3: Cross multiply
    7,889.84x = 11,830.64 × 2,342.42
  4. Step 4: Simplify right side
    7,889.84x = 27,712,327.75
  5. Step 5: Solve for x
    x = 27,712,327.75/7,889.84
  6. Step 6: Final answer
    x = 3,512.41

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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.