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Finding the Fourth Proportional to 11,948.31, 17,913.93 and 5,619.65

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Solution

The fourth proportional to 11,948.31, 17,913.93 and 5,619.65 is: 8,425.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.31 : 17,913.93 = 5,619.65 : x
  2. Step 2: Convert to fraction form
    11,948.31/17,913.93 = 5,619.65/x
  3. Step 3: Cross multiply
    11,948.31x = 17,913.93 × 5,619.65
  4. Step 4: Simplify right side
    11,948.31x = 100,669,927.15
  5. Step 5: Solve for x
    x = 100,669,927.15/11,948.31
  6. Step 6: Final answer
    x = 8,425.45

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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.