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Finding the Fourth Proportional to 8,314.98, 11,465.34 and 6,797.82

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Solution

The fourth proportional to 8,314.98, 11,465.34 and 6,797.82 is: 9,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.98 : 11,465.34 = 6,797.82 : x
  2. Step 2: Convert to fraction form
    8,314.98/11,465.34 = 6,797.82/x
  3. Step 3: Cross multiply
    8,314.98x = 11,465.34 × 6,797.82
  4. Step 4: Simplify right side
    8,314.98x = 77,939,317.56
  5. Step 5: Solve for x
    x = 77,939,317.56/8,314.98
  6. Step 6: Final answer
    x = 9,373.36

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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.