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Finding the Fourth Proportional to 7,858.30, 10,843.80 and 4,627.60

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Solution

The fourth proportional to 7,858.30, 10,843.80 and 4,627.60 is: 6,385.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.30 : 10,843.80 = 4,627.60 : x
  2. Step 2: Convert to fraction form
    7,858.30/10,843.80 = 4,627.60/x
  3. Step 3: Cross multiply
    7,858.30x = 10,843.80 × 4,627.60
  4. Step 4: Simplify right side
    7,858.30x = 50,180,785.41
  5. Step 5: Solve for x
    x = 50,180,785.41/7,858.30
  6. Step 6: Final answer
    x = 6,385.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.