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Finding the Fourth Proportional to 13,278.16, 18,324.39 and 7,310.39

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Solution

The fourth proportional to 13,278.16, 18,324.39 and 7,310.39 is: 10,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,278.16 : 18,324.39 = 7,310.39 : x
  2. Step 2: Convert to fraction form
    13,278.16/18,324.39 = 7,310.39/x
  3. Step 3: Cross multiply
    13,278.16x = 18,324.39 × 7,310.39
  4. Step 4: Simplify right side
    13,278.16x = 133,958,437.41
  5. Step 5: Solve for x
    x = 133,958,437.41/13,278.16
  6. Step 6: Final answer
    x = 10,088.63

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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.