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Finding the Fourth Proportional to 11,770.04, 17,653.12 and 3,872.66

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Solution

The fourth proportional to 11,770.04, 17,653.12 and 3,872.66 is: 5,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.04 : 17,653.12 = 3,872.66 : x
  2. Step 2: Convert to fraction form
    11,770.04/17,653.12 = 3,872.66/x
  3. Step 3: Cross multiply
    11,770.04x = 17,653.12 × 3,872.66
  4. Step 4: Simplify right side
    11,770.04x = 68,364,554.83
  5. Step 5: Solve for x
    x = 68,364,554.83/11,770.04
  6. Step 6: Final answer
    x = 5,808.35

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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.