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Finding the Fourth Proportional to 7,968.17, 11,952.21 and 2,774

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Solution

The fourth proportional to 7,968.17, 11,952.21 and 2,774 is: 4,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.17 : 11,952.21 = 2,774 : x
  2. Step 2: Convert to fraction form
    7,968.17/11,952.21 = 2,774/x
  3. Step 3: Cross multiply
    7,968.17x = 11,952.21 × 2,774
  4. Step 4: Simplify right side
    7,968.17x = 33,155,430.54
  5. Step 5: Solve for x
    x = 33,155,430.54/7,968.17
  6. Step 6: Final answer
    x = 4,160.98

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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.