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Finding the Fourth Proportional to 11,980.51, 17,963 and 4,958.62

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Solution

The fourth proportional to 11,980.51, 17,963 and 4,958.62 is: 7,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,980.51 : 17,963 = 4,958.62 : x
  2. Step 2: Convert to fraction form
    11,980.51/17,963 = 4,958.62/x
  3. Step 3: Cross multiply
    11,980.51x = 17,963 × 4,958.62
  4. Step 4: Simplify right side
    11,980.51x = 89,071,691.06
  5. Step 5: Solve for x
    x = 89,071,691.06/11,980.51
  6. Step 6: Final answer
    x = 7,434.72

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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.