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Finding the Fourth Proportional to 7,827.71, 10,802.24 and 4,290.84

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Solution

The fourth proportional to 7,827.71, 10,802.24 and 4,290.84 is: 5,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827.71 : 10,802.24 = 4,290.84 : x
  2. Step 2: Convert to fraction form
    7,827.71/10,802.24 = 4,290.84/x
  3. Step 3: Cross multiply
    7,827.71x = 10,802.24 × 4,290.84
  4. Step 4: Simplify right side
    7,827.71x = 46,350,662.03
  5. Step 5: Solve for x
    x = 46,350,662.03/7,827.71
  6. Step 6: Final answer
    x = 5,921.36

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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.