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Finding the Fourth Proportional to 7,702.94, 11,552.64 and 3,021.41

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Solution

The fourth proportional to 7,702.94, 11,552.64 and 3,021.41 is: 4,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.94 : 11,552.64 = 3,021.41 : x
  2. Step 2: Convert to fraction form
    7,702.94/11,552.64 = 3,021.41/x
  3. Step 3: Cross multiply
    7,702.94x = 11,552.64 × 3,021.41
  4. Step 4: Simplify right side
    7,702.94x = 34,905,204.26
  5. Step 5: Solve for x
    x = 34,905,204.26/7,702.94
  6. Step 6: Final answer
    x = 4,531.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.