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Finding the Fourth Proportional to 11,788.84, 17,683.53 and 3,888.82

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Solution

The fourth proportional to 11,788.84, 17,683.53 and 3,888.82 is: 5,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.84 : 17,683.53 = 3,888.82 : x
  2. Step 2: Convert to fraction form
    11,788.84/17,683.53 = 3,888.82/x
  3. Step 3: Cross multiply
    11,788.84x = 17,683.53 × 3,888.82
  4. Step 4: Simplify right side
    11,788.84x = 68,768,065.13
  5. Step 5: Solve for x
    x = 68,768,065.13/11,788.84
  6. Step 6: Final answer
    x = 5,833.32

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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.