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Finding the Fourth Proportional to 7,732.90, 10,671.44 and 4,196.12

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Solution

The fourth proportional to 7,732.90, 10,671.44 and 4,196.12 is: 5,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,732.90 : 10,671.44 = 4,196.12 : x
  2. Step 2: Convert to fraction form
    7,732.90/10,671.44 = 4,196.12/x
  3. Step 3: Cross multiply
    7,732.90x = 10,671.44 × 4,196.12
  4. Step 4: Simplify right side
    7,732.90x = 44,778,576.34
  5. Step 5: Solve for x
    x = 44,778,576.34/7,732.90
  6. Step 6: Final answer
    x = 5,790.65

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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.