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Finding the Fourth Proportional to 11,137.23, 15,328.71 and 8,891.91

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Solution

The fourth proportional to 11,137.23, 15,328.71 and 8,891.91 is: 12,238.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.23 : 15,328.71 = 8,891.91 : x
  2. Step 2: Convert to fraction form
    11,137.23/15,328.71 = 8,891.91/x
  3. Step 3: Cross multiply
    11,137.23x = 15,328.71 × 8,891.91
  4. Step 4: Simplify right side
    11,137.23x = 136,301,509.74
  5. Step 5: Solve for x
    x = 136,301,509.74/11,137.23
  6. Step 6: Final answer
    x = 12,238.37

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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.