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Finding the Fourth Proportional to 11,888.58, 17,842.59 and 6,046.86

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Solution

The fourth proportional to 11,888.58, 17,842.59 and 6,046.86 is: 9,075.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.58 : 17,842.59 = 6,046.86 : x
  2. Step 2: Convert to fraction form
    11,888.58/17,842.59 = 6,046.86/x
  3. Step 3: Cross multiply
    11,888.58x = 17,842.59 × 6,046.86
  4. Step 4: Simplify right side
    11,888.58x = 107,891,643.77
  5. Step 5: Solve for x
    x = 107,891,643.77/11,888.58
  6. Step 6: Final answer
    x = 9,075.23

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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.