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Finding the Fourth Proportional to 11,653.26, 17,482.42 and 4,257.70

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Solution

The fourth proportional to 11,653.26, 17,482.42 and 4,257.70 is: 6,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.26 : 17,482.42 = 4,257.70 : x
  2. Step 2: Convert to fraction form
    11,653.26/17,482.42 = 4,257.70/x
  3. Step 3: Cross multiply
    11,653.26x = 17,482.42 × 4,257.70
  4. Step 4: Simplify right side
    11,653.26x = 74,434,935.64
  5. Step 5: Solve for x
    x = 74,434,935.64/11,653.26
  6. Step 6: Final answer
    x = 6,387.48

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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.