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Finding the Fourth Proportional to 7,862.47, 10,850.05 and 4,325.74

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Solution

The fourth proportional to 7,862.47, 10,850.05 and 4,325.74 is: 5,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.47 : 10,850.05 = 4,325.74 : x
  2. Step 2: Convert to fraction form
    7,862.47/10,850.05 = 4,325.74/x
  3. Step 3: Cross multiply
    7,862.47x = 10,850.05 × 4,325.74
  4. Step 4: Simplify right side
    7,862.47x = 46,934,473.57
  5. Step 5: Solve for x
    x = 46,934,473.57/7,862.47
  6. Step 6: Final answer
    x = 5,969.43

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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.