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Finding the Fourth Proportional to 11,830.88, 17,750.37 and 5,261.65

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Solution

The fourth proportional to 11,830.88, 17,750.37 and 5,261.65 is: 7,894.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.88 : 17,750.37 = 5,261.65 : x
  2. Step 2: Convert to fraction form
    11,830.88/17,750.37 = 5,261.65/x
  3. Step 3: Cross multiply
    11,830.88x = 17,750.37 × 5,261.65
  4. Step 4: Simplify right side
    11,830.88x = 93,396,209.67
  5. Step 5: Solve for x
    x = 93,396,209.67/11,830.88
  6. Step 6: Final answer
    x = 7,894.27

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