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Finding the Fourth Proportional to 28,853.50, 43,280.25 and 6,965.50

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Solution

The fourth proportional to 28,853.50, 43,280.25 and 6,965.50 is: 10,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,853.50 : 43,280.25 = 6,965.50 : x
  2. Step 2: Convert to fraction form
    28,853.50/43,280.25 = 6,965.50/x
  3. Step 3: Cross multiply
    28,853.50x = 43,280.25 × 6,965.50
  4. Step 4: Simplify right side
    28,853.50x = 301,468,581.38
  5. Step 5: Solve for x
    x = 301,468,581.38/28,853.50
  6. Step 6: Final answer
    x = 10,448.25

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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.