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Finding the Fourth Proportional to 7,952.94, 11,929.02 and 3,022.18

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Solution

The fourth proportional to 7,952.94, 11,929.02 and 3,022.18 is: 4,533.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.94 : 11,929.02 = 3,022.18 : x
  2. Step 2: Convert to fraction form
    7,952.94/11,929.02 = 3,022.18/x
  3. Step 3: Cross multiply
    7,952.94x = 11,929.02 × 3,022.18
  4. Step 4: Simplify right side
    7,952.94x = 36,051,645.66
  5. Step 5: Solve for x
    x = 36,051,645.66/7,952.94
  6. Step 6: Final answer
    x = 4,533.12

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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.