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Finding the Fourth Proportional to 7,683.80, 11,525.72 and 2,686.23

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Solution

The fourth proportional to 7,683.80, 11,525.72 and 2,686.23 is: 4,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.80 : 11,525.72 = 2,686.23 : x
  2. Step 2: Convert to fraction form
    7,683.80/11,525.72 = 2,686.23/x
  3. Step 3: Cross multiply
    7,683.80x = 11,525.72 × 2,686.23
  4. Step 4: Simplify right side
    7,683.80x = 30,960,721.40
  5. Step 5: Solve for x
    x = 30,960,721.40/7,683.80
  6. Step 6: Final answer
    x = 4,029.35

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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.