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Finding the Fourth Proportional to 7,702.84, 11,554.26 and 2,772.37

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Solution

The fourth proportional to 7,702.84, 11,554.26 and 2,772.37 is: 4,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.84 : 11,554.26 = 2,772.37 : x
  2. Step 2: Convert to fraction form
    7,702.84/11,554.26 = 2,772.37/x
  3. Step 3: Cross multiply
    7,702.84x = 11,554.26 × 2,772.37
  4. Step 4: Simplify right side
    7,702.84x = 32,032,683.80
  5. Step 5: Solve for x
    x = 32,032,683.80/7,702.84
  6. Step 6: Final answer
    x = 4,158.56

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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.