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Finding the Fourth Proportional to 7,853.25, 10,837.50 and 4,268.19

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Solution

The fourth proportional to 7,853.25, 10,837.50 and 4,268.19 is: 5,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.25 : 10,837.50 = 4,268.19 : x
  2. Step 2: Convert to fraction form
    7,853.25/10,837.50 = 4,268.19/x
  3. Step 3: Cross multiply
    7,853.25x = 10,837.50 × 4,268.19
  4. Step 4: Simplify right side
    7,853.25x = 46,256,533.76
  5. Step 5: Solve for x
    x = 46,256,533.76/7,853.25
  6. Step 6: Final answer
    x = 5,890.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.