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Finding the Fourth Proportional to 7,702.81, 10,629.85 and 4,166.02

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Solution

The fourth proportional to 7,702.81, 10,629.85 and 4,166.02 is: 5,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.81 : 10,629.85 = 4,166.02 : x
  2. Step 2: Convert to fraction form
    7,702.81/10,629.85 = 4,166.02/x
  3. Step 3: Cross multiply
    7,702.81x = 10,629.85 × 4,166.02
  4. Step 4: Simplify right side
    7,702.81x = 44,284,167.70
  5. Step 5: Solve for x
    x = 44,284,167.70/7,702.81
  6. Step 6: Final answer
    x = 5,749.09

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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.