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Finding the Fourth Proportional to 7,862.18, 10,847.94 and 4,991.72

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Solution

The fourth proportional to 7,862.18, 10,847.94 and 4,991.72 is: 6,887.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.18 : 10,847.94 = 4,991.72 : x
  2. Step 2: Convert to fraction form
    7,862.18/10,847.94 = 4,991.72/x
  3. Step 3: Cross multiply
    7,862.18x = 10,847.94 × 4,991.72
  4. Step 4: Simplify right side
    7,862.18x = 54,149,879.06
  5. Step 5: Solve for x
    x = 54,149,879.06/7,862.18
  6. Step 6: Final answer
    x = 6,887.39

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Why These Related Problems?

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