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Finding the Fourth Proportional to 11,864.39, 16,373.07 and 6,559.11

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Solution

The fourth proportional to 11,864.39, 16,373.07 and 6,559.11 is: 9,051.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.39 : 16,373.07 = 6,559.11 : x
  2. Step 2: Convert to fraction form
    11,864.39/16,373.07 = 6,559.11/x
  3. Step 3: Cross multiply
    11,864.39x = 16,373.07 × 6,559.11
  4. Step 4: Simplify right side
    11,864.39x = 107,392,767.17
  5. Step 5: Solve for x
    x = 107,392,767.17/11,864.39
  6. Step 6: Final answer
    x = 9,051.69

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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.