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Finding the Fourth Proportional to 7,862.94, 10,850.79 and 4,460.60

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Solution

The fourth proportional to 7,862.94, 10,850.79 and 4,460.60 is: 6,155.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.94 : 10,850.79 = 4,460.60 : x
  2. Step 2: Convert to fraction form
    7,862.94/10,850.79 = 4,460.60/x
  3. Step 3: Cross multiply
    7,862.94x = 10,850.79 × 4,460.60
  4. Step 4: Simplify right side
    7,862.94x = 48,400,979.62
  5. Step 5: Solve for x
    x = 48,400,979.62/7,862.94
  6. Step 6: Final answer
    x = 6,155.58

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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.