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Finding the Fourth Proportional to 11,899.32, 17,855.07 and 6,055.93

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Solution

The fourth proportional to 11,899.32, 17,855.07 and 6,055.93 is: 9,086.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899.32 : 17,855.07 = 6,055.93 : x
  2. Step 2: Convert to fraction form
    11,899.32/17,855.07 = 6,055.93/x
  3. Step 3: Cross multiply
    11,899.32x = 17,855.07 × 6,055.93
  4. Step 4: Simplify right side
    11,899.32x = 108,129,054.07
  5. Step 5: Solve for x
    x = 108,129,054.07/11,899.32
  6. Step 6: Final answer
    x = 9,086.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.