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Finding the Fourth Proportional to 7,702.80, 10,623.24 and 6,021.60

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Solution

The fourth proportional to 7,702.80, 10,623.24 and 6,021.60 is: 8,304.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.80 : 10,623.24 = 6,021.60 : x
  2. Step 2: Convert to fraction form
    7,702.80/10,623.24 = 6,021.60/x
  3. Step 3: Cross multiply
    7,702.80x = 10,623.24 × 6,021.60
  4. Step 4: Simplify right side
    7,702.80x = 63,968,901.98
  5. Step 5: Solve for x
    x = 63,968,901.98/7,702.80
  6. Step 6: Final answer
    x = 8,304.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.