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Finding the Fourth Proportional to 11,653.44, 17,478.36 and 3,862.32

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Solution

The fourth proportional to 11,653.44, 17,478.36 and 3,862.32 is: 5,792.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.44 : 17,478.36 = 3,862.32 : x
  2. Step 2: Convert to fraction form
    11,653.44/17,478.36 = 3,862.32/x
  3. Step 3: Cross multiply
    11,653.44x = 17,478.36 × 3,862.32
  4. Step 4: Simplify right side
    11,653.44x = 67,507,019.40
  5. Step 5: Solve for x
    x = 67,507,019.40/11,653.44
  6. Step 6: Final answer
    x = 5,792.88

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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.