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Finding the Fourth Proportional to 6,877.91, 10,316.77 and 1,683.79

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Solution

The fourth proportional to 6,877.91, 10,316.77 and 1,683.79 is: 2,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.91 : 10,316.77 = 1,683.79 : x
  2. Step 2: Convert to fraction form
    6,877.91/10,316.77 = 1,683.79/x
  3. Step 3: Cross multiply
    6,877.91x = 10,316.77 × 1,683.79
  4. Step 4: Simplify right side
    6,877.91x = 17,371,244.16
  5. Step 5: Solve for x
    x = 17,371,244.16/6,877.91
  6. Step 6: Final answer
    x = 2,525.66

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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.