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Finding the Fourth Proportional to 7,702.11, 10,629 and 4,676.36

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Solution

The fourth proportional to 7,702.11, 10,629 and 4,676.36 is: 6,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.11 : 10,629 = 4,676.36 : x
  2. Step 2: Convert to fraction form
    7,702.11/10,629 = 4,676.36/x
  3. Step 3: Cross multiply
    7,702.11x = 10,629 × 4,676.36
  4. Step 4: Simplify right side
    7,702.11x = 49,704,977.30
  5. Step 5: Solve for x
    x = 49,704,977.30/7,702.11
  6. Step 6: Final answer
    x = 6,453.42

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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.