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Finding the Fourth Proportional to 7,889.60, 11,830.26 and 2,342.18

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Solution

The fourth proportional to 7,889.60, 11,830.26 and 2,342.18 is: 3,512.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.60 : 11,830.26 = 2,342.18 : x
  2. Step 2: Convert to fraction form
    7,889.60/11,830.26 = 2,342.18/x
  3. Step 3: Cross multiply
    7,889.60x = 11,830.26 × 2,342.18
  4. Step 4: Simplify right side
    7,889.60x = 27,708,598.37
  5. Step 5: Solve for x
    x = 27,708,598.37/7,889.60
  6. Step 6: Final answer
    x = 3,512.04

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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.