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Finding the Fourth Proportional to 11,852.24, 17,780.07 and 3,534.80

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Solution

The fourth proportional to 11,852.24, 17,780.07 and 3,534.80 is: 5,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,852.24 : 17,780.07 = 3,534.80 : x
  2. Step 2: Convert to fraction form
    11,852.24/17,780.07 = 3,534.80/x
  3. Step 3: Cross multiply
    11,852.24x = 17,780.07 × 3,534.80
  4. Step 4: Simplify right side
    11,852.24x = 62,849,035.89
  5. Step 5: Solve for x
    x = 62,849,035.89/11,852.24
  6. Step 6: Final answer
    x = 5,302.71

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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.