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Finding the Fourth Proportional to 8,278.19, 11,427.93 and 5,762.24

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Solution

The fourth proportional to 8,278.19, 11,427.93 and 5,762.24 is: 7,954.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.19 : 11,427.93 = 5,762.24 : x
  2. Step 2: Convert to fraction form
    8,278.19/11,427.93 = 5,762.24/x
  3. Step 3: Cross multiply
    8,278.19x = 11,427.93 × 5,762.24
  4. Step 4: Simplify right side
    8,278.19x = 65,850,418.22
  5. Step 5: Solve for x
    x = 65,850,418.22/8,278.19
  6. Step 6: Final answer
    x = 7,954.69

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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.