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Finding the Fourth Proportional to 7,858.38, 11,785.04 and 2,592.40

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Solution

The fourth proportional to 7,858.38, 11,785.04 and 2,592.40 is: 3,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.38 : 11,785.04 = 2,592.40 : x
  2. Step 2: Convert to fraction form
    7,858.38/11,785.04 = 2,592.40/x
  3. Step 3: Cross multiply
    7,858.38x = 11,785.04 × 2,592.40
  4. Step 4: Simplify right side
    7,858.38x = 30,551,537.70
  5. Step 5: Solve for x
    x = 30,551,537.70/7,858.38
  6. Step 6: Final answer
    x = 3,887.77

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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.