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Finding the Fourth Proportional to 13,135.91, 18,118.55 and 7,826.63

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Solution

The fourth proportional to 13,135.91, 18,118.55 and 7,826.63 is: 10,795.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.91 : 18,118.55 = 7,826.63 : x
  2. Step 2: Convert to fraction form
    13,135.91/18,118.55 = 7,826.63/x
  3. Step 3: Cross multiply
    13,135.91x = 18,118.55 × 7,826.63
  4. Step 4: Simplify right side
    13,135.91x = 141,807,115.96
  5. Step 5: Solve for x
    x = 141,807,115.96/13,135.91
  6. Step 6: Final answer
    x = 10,795.38

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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.