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Finding the Fourth Proportional to 7,702.82, 10,629.91 and 4,166.07

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Solution

The fourth proportional to 7,702.82, 10,629.91 and 4,166.07 is: 5,749.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.82 : 10,629.91 = 4,166.07 : x
  2. Step 2: Convert to fraction form
    7,702.82/10,629.91 = 4,166.07/x
  3. Step 3: Cross multiply
    7,702.82x = 10,629.91 × 4,166.07
  4. Step 4: Simplify right side
    7,702.82x = 44,284,896.00
  5. Step 5: Solve for x
    x = 44,284,896.00/7,702.82
  6. Step 6: Final answer
    x = 5,749.18

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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.