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Finding the Fourth Proportional to 11,137.74, 15,380.38 and 7,165.74

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Solution

The fourth proportional to 11,137.74, 15,380.38 and 7,165.74 is: 9,895.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.74 : 15,380.38 = 7,165.74 : x
  2. Step 2: Convert to fraction form
    11,137.74/15,380.38 = 7,165.74/x
  3. Step 3: Cross multiply
    11,137.74x = 15,380.38 × 7,165.74
  4. Step 4: Simplify right side
    11,137.74x = 110,211,804.18
  5. Step 5: Solve for x
    x = 110,211,804.18/11,137.74
  6. Step 6: Final answer
    x = 9,895.35

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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.