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Finding the Fourth Proportional to 11,488.62, 15,840.39 and 8,937.12

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Solution

The fourth proportional to 11,488.62, 15,840.39 and 8,937.12 is: 12,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,488.62 : 15,840.39 = 8,937.12 : x
  2. Step 2: Convert to fraction form
    11,488.62/15,840.39 = 8,937.12/x
  3. Step 3: Cross multiply
    11,488.62x = 15,840.39 × 8,937.12
  4. Step 4: Simplify right side
    11,488.62x = 141,567,466.28
  5. Step 5: Solve for x
    x = 141,567,466.28/11,488.62
  6. Step 6: Final answer
    x = 12,322.41

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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.