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Finding the Fourth Proportional to 6,683.51, 10,019.62 and 4,212.88

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Solution

The fourth proportional to 6,683.51, 10,019.62 and 4,212.88 is: 6,315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683.51 : 10,019.62 = 4,212.88 : x
  2. Step 2: Convert to fraction form
    6,683.51/10,019.62 = 4,212.88/x
  3. Step 3: Cross multiply
    6,683.51x = 10,019.62 × 4,212.88
  4. Step 4: Simplify right side
    6,683.51x = 42,211,456.58
  5. Step 5: Solve for x
    x = 42,211,456.58/6,683.51
  6. Step 6: Final answer
    x = 6,315.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.