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Finding the Fourth Proportional to 8,352.14, 11,518 and 4,994.41

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Solution

The fourth proportional to 8,352.14, 11,518 and 4,994.41 is: 6,887.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,352.14 : 11,518 = 4,994.41 : x
  2. Step 2: Convert to fraction form
    8,352.14/11,518 = 4,994.41/x
  3. Step 3: Cross multiply
    8,352.14x = 11,518 × 4,994.41
  4. Step 4: Simplify right side
    8,352.14x = 57,525,614.38
  5. Step 5: Solve for x
    x = 57,525,614.38/8,352.14
  6. Step 6: Final answer
    x = 6,887.53

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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.