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Finding the Fourth Proportional to 7,828.57, 10,802.94 and 4,291.81

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Solution

The fourth proportional to 7,828.57, 10,802.94 and 4,291.81 is: 5,922.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,828.57 : 10,802.94 = 4,291.81 : x
  2. Step 2: Convert to fraction form
    7,828.57/10,802.94 = 4,291.81/x
  3. Step 3: Cross multiply
    7,828.57x = 10,802.94 × 4,291.81
  4. Step 4: Simplify right side
    7,828.57x = 46,364,122.82
  5. Step 5: Solve for x
    x = 46,364,122.82/7,828.57
  6. Step 6: Final answer
    x = 5,922.42

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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.