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Finding the Fourth Proportional to 7,902.34, 11,853.49 and 2,355.76

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Solution

The fourth proportional to 7,902.34, 11,853.49 and 2,355.76 is: 3,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.34 : 11,853.49 = 2,355.76 : x
  2. Step 2: Convert to fraction form
    7,902.34/11,853.49 = 2,355.76/x
  3. Step 3: Cross multiply
    7,902.34x = 11,853.49 × 2,355.76
  4. Step 4: Simplify right side
    7,902.34x = 27,923,977.60
  5. Step 5: Solve for x
    x = 27,923,977.60/7,902.34
  6. Step 6: Final answer
    x = 3,533.63

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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.