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Finding the Fourth Proportional to 7,973.25, 11,959.47 and 2,426.47

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Solution

The fourth proportional to 7,973.25, 11,959.47 and 2,426.47 is: 3,639.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.25 : 11,959.47 = 2,426.47 : x
  2. Step 2: Convert to fraction form
    7,973.25/11,959.47 = 2,426.47/x
  3. Step 3: Cross multiply
    7,973.25x = 11,959.47 × 2,426.47
  4. Step 4: Simplify right side
    7,973.25x = 29,019,295.17
  5. Step 5: Solve for x
    x = 29,019,295.17/7,973.25
  6. Step 6: Final answer
    x = 3,639.58

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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.