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Finding the Fourth Proportional to 11,978.34, 17,968.23 and 5,050.50

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Solution

The fourth proportional to 11,978.34, 17,968.23 and 5,050.50 is: 7,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.34 : 17,968.23 = 5,050.50 : x
  2. Step 2: Convert to fraction form
    11,978.34/17,968.23 = 5,050.50/x
  3. Step 3: Cross multiply
    11,978.34x = 17,968.23 × 5,050.50
  4. Step 4: Simplify right side
    11,978.34x = 90,748,545.62
  5. Step 5: Solve for x
    x = 90,748,545.62/11,978.34
  6. Step 6: Final answer
    x = 7,576.05

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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.