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Finding the Fourth Proportional to 13,378.37, 18,460.26 and 7,712.66

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Solution

The fourth proportional to 13,378.37, 18,460.26 and 7,712.66 is: 10,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,378.37 : 18,460.26 = 7,712.66 : x
  2. Step 2: Convert to fraction form
    13,378.37/18,460.26 = 7,712.66/x
  3. Step 3: Cross multiply
    13,378.37x = 18,460.26 × 7,712.66
  4. Step 4: Simplify right side
    13,378.37x = 142,377,755.04
  5. Step 5: Solve for x
    x = 142,377,755.04/13,378.37
  6. Step 6: Final answer
    x = 10,642.39

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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.