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Finding the Fourth Proportional to 11,855.19, 17,783.69 and 3,534.57

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Solution

The fourth proportional to 11,855.19, 17,783.69 and 3,534.57 is: 5,302.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.19 : 17,783.69 = 3,534.57 : x
  2. Step 2: Convert to fraction form
    11,855.19/17,783.69 = 3,534.57/x
  3. Step 3: Cross multiply
    11,855.19x = 17,783.69 × 3,534.57
  4. Step 4: Simplify right side
    11,855.19x = 62,857,590.57
  5. Step 5: Solve for x
    x = 62,857,590.57/11,855.19
  6. Step 6: Final answer
    x = 5,302.12

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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.