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Finding the Fourth Proportional to 11,853.56, 17,782.14 and 4,458.53

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Solution

The fourth proportional to 11,853.56, 17,782.14 and 4,458.53 is: 6,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.56 : 17,782.14 = 4,458.53 : x
  2. Step 2: Convert to fraction form
    11,853.56/17,782.14 = 4,458.53/x
  3. Step 3: Cross multiply
    11,853.56x = 17,782.14 × 4,458.53
  4. Step 4: Simplify right side
    11,853.56x = 79,282,204.65
  5. Step 5: Solve for x
    x = 79,282,204.65/11,853.56
  6. Step 6: Final answer
    x = 6,688.47

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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.