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Finding the Fourth Proportional to 6,871.81, 10,307.75 and 1,677.69

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Solution

The fourth proportional to 6,871.81, 10,307.75 and 1,677.69 is: 2,516.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.81 : 10,307.75 = 1,677.69 : x
  2. Step 2: Convert to fraction form
    6,871.81/10,307.75 = 1,677.69/x
  3. Step 3: Cross multiply
    6,871.81x = 10,307.75 × 1,677.69
  4. Step 4: Simplify right side
    6,871.81x = 17,293,209.10
  5. Step 5: Solve for x
    x = 17,293,209.10/6,871.81
  6. Step 6: Final answer
    x = 2,516.54

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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.