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Finding the Fourth Proportional to 11,852.53, 17,778.80 and 3,088.33

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Solution

The fourth proportional to 11,852.53, 17,778.80 and 3,088.33 is: 4,632.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.53 : 17,778.80 = 3,088.33 : x
  2. Step 2: Convert to fraction form
    11,852.53/17,778.80 = 3,088.33/x
  3. Step 3: Cross multiply
    11,852.53x = 17,778.80 × 3,088.33
  4. Step 4: Simplify right side
    11,852.53x = 54,906,801.40
  5. Step 5: Solve for x
    x = 54,906,801.40/11,852.53
  6. Step 6: Final answer
    x = 4,632.50

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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.