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Finding the Fourth Proportional to 11,767.63, 17,653.62 and 3,870.58

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Solution

The fourth proportional to 11,767.63, 17,653.62 and 3,870.58 is: 5,806.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.63 : 17,653.62 = 3,870.58 : x
  2. Step 2: Convert to fraction form
    11,767.63/17,653.62 = 3,870.58/x
  3. Step 3: Cross multiply
    11,767.63x = 17,653.62 × 3,870.58
  4. Step 4: Simplify right side
    11,767.63x = 68,329,640.88
  5. Step 5: Solve for x
    x = 68,329,640.88/11,767.63
  6. Step 6: Final answer
    x = 5,806.58

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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.