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Finding the Fourth Proportional to 7,844.28, 10,825.06 and 4,259.16

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Solution

The fourth proportional to 7,844.28, 10,825.06 and 4,259.16 is: 5,877.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.28 : 10,825.06 = 4,259.16 : x
  2. Step 2: Convert to fraction form
    7,844.28/10,825.06 = 4,259.16/x
  3. Step 3: Cross multiply
    7,844.28x = 10,825.06 × 4,259.16
  4. Step 4: Simplify right side
    7,844.28x = 46,105,662.55
  5. Step 5: Solve for x
    x = 46,105,662.55/7,844.28
  6. Step 6: Final answer
    x = 5,877.62

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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.