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Finding the Fourth Proportional to 8,175.98, 11,298.16 and 6,683.34

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Solution

The fourth proportional to 8,175.98, 11,298.16 and 6,683.34 is: 9,235.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175.98 : 11,298.16 = 6,683.34 : x
  2. Step 2: Convert to fraction form
    8,175.98/11,298.16 = 6,683.34/x
  3. Step 3: Cross multiply
    8,175.98x = 11,298.16 × 6,683.34
  4. Step 4: Simplify right side
    8,175.98x = 75,509,444.65
  5. Step 5: Solve for x
    x = 75,509,444.65/8,175.98
  6. Step 6: Final answer
    x = 9,235.52

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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.