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Finding the Fourth Proportional to 11,465.39, 15,800.82 and 8,943.51

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Solution

The fourth proportional to 11,465.39, 15,800.82 and 8,943.51 is: 12,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.39 : 15,800.82 = 8,943.51 : x
  2. Step 2: Convert to fraction form
    11,465.39/15,800.82 = 8,943.51/x
  3. Step 3: Cross multiply
    11,465.39x = 15,800.82 × 8,943.51
  4. Step 4: Simplify right side
    11,465.39x = 141,314,729.82
  5. Step 5: Solve for x
    x = 141,314,729.82/11,465.39
  6. Step 6: Final answer
    x = 12,325.33

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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.