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Finding the Fourth Proportional to 7,973.50, 11,959.99 and 4,282.94

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Solution

The fourth proportional to 7,973.50, 11,959.99 and 4,282.94 is: 6,424.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.50 : 11,959.99 = 4,282.94 : x
  2. Step 2: Convert to fraction form
    7,973.50/11,959.99 = 4,282.94/x
  3. Step 3: Cross multiply
    7,973.50x = 11,959.99 × 4,282.94
  4. Step 4: Simplify right side
    7,973.50x = 51,223,919.57
  5. Step 5: Solve for x
    x = 51,223,919.57/7,973.50
  6. Step 6: Final answer
    x = 6,424.27

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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.