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Finding the Fourth Proportional to 7,862.94, 10,850.45 and 4,325.47

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Solution

The fourth proportional to 7,862.94, 10,850.45 and 4,325.47 is: 5,968.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.94 : 10,850.45 = 4,325.47 : x
  2. Step 2: Convert to fraction form
    7,862.94/10,850.45 = 4,325.47/x
  3. Step 3: Cross multiply
    7,862.94x = 10,850.45 × 4,325.47
  4. Step 4: Simplify right side
    7,862.94x = 46,933,247.21
  5. Step 5: Solve for x
    x = 46,933,247.21/7,862.94
  6. Step 6: Final answer
    x = 5,968.92

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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.