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Finding the Fourth Proportional to 7,824.74, 10,797.99 and 4,287.93

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Solution

The fourth proportional to 7,824.74, 10,797.99 and 4,287.93 is: 5,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.74 : 10,797.99 = 4,287.93 : x
  2. Step 2: Convert to fraction form
    7,824.74/10,797.99 = 4,287.93/x
  3. Step 3: Cross multiply
    7,824.74x = 10,797.99 × 4,287.93
  4. Step 4: Simplify right side
    7,824.74x = 46,301,025.26
  5. Step 5: Solve for x
    x = 46,301,025.26/7,824.74
  6. Step 6: Final answer
    x = 5,917.26

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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.