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Finding the Fourth Proportional to 11,137.94, 15,386.38 and 8,896.88

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Solution

The fourth proportional to 11,137.94, 15,386.38 and 8,896.88 is: 12,290.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.94 : 15,386.38 = 8,896.88 : x
  2. Step 2: Convert to fraction form
    11,137.94/15,386.38 = 8,896.88/x
  3. Step 3: Cross multiply
    11,137.94x = 15,386.38 × 8,896.88
  4. Step 4: Simplify right side
    11,137.94x = 136,890,776.49
  5. Step 5: Solve for x
    x = 136,890,776.49/11,137.94
  6. Step 6: Final answer
    x = 12,290.49

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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.