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Finding the Fourth Proportional to 7,702.41, 11,555.24 and 2,511.93

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Solution

The fourth proportional to 7,702.41, 11,555.24 and 2,511.93 is: 3,768.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.41 : 11,555.24 = 2,511.93 : x
  2. Step 2: Convert to fraction form
    7,702.41/11,555.24 = 2,511.93/x
  3. Step 3: Cross multiply
    7,702.41x = 11,555.24 × 2,511.93
  4. Step 4: Simplify right side
    7,702.41x = 29,025,941.45
  5. Step 5: Solve for x
    x = 29,025,941.45/7,702.41
  6. Step 6: Final answer
    x = 3,768.42

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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.