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Finding the Fourth Proportional to 11,643.38, 17,460.75 and 4,979.06

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Solution

The fourth proportional to 11,643.38, 17,460.75 and 4,979.06 is: 7,466.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643.38 : 17,460.75 = 4,979.06 : x
  2. Step 2: Convert to fraction form
    11,643.38/17,460.75 = 4,979.06/x
  3. Step 3: Cross multiply
    11,643.38x = 17,460.75 × 4,979.06
  4. Step 4: Simplify right side
    11,643.38x = 86,938,121.90
  5. Step 5: Solve for x
    x = 86,938,121.90/11,643.38
  6. Step 6: Final answer
    x = 7,466.74

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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.