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Finding the Fourth Proportional to 7,702.00, 10,628.74 and 4,165.21

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Solution

The fourth proportional to 7,702.00, 10,628.74 and 4,165.21 is: 5,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.00 : 10,628.74 = 4,165.21 : x
  2. Step 2: Convert to fraction form
    7,702.00/10,628.74 = 4,165.21/x
  3. Step 3: Cross multiply
    7,702.00x = 10,628.74 × 4,165.21
  4. Step 4: Simplify right side
    7,702.00x = 44,270,869.41
  5. Step 5: Solve for x
    x = 44,270,869.41/7,702.00
  6. Step 6: Final answer
    x = 5,747.97

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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.