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Finding the Fourth Proportional to 7,824.30, 10,797.48 and 4,287.48

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Solution

The fourth proportional to 7,824.30, 10,797.48 and 4,287.48 is: 5,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.30 : 10,797.48 = 4,287.48 : x
  2. Step 2: Convert to fraction form
    7,824.30/10,797.48 = 4,287.48/x
  3. Step 3: Cross multiply
    7,824.30x = 10,797.48 × 4,287.48
  4. Step 4: Simplify right side
    7,824.30x = 46,293,979.55
  5. Step 5: Solve for x
    x = 46,293,979.55/7,824.30
  6. Step 6: Final answer
    x = 5,916.69

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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.