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Finding the Fourth Proportional to 10,205.96, 15,301.73 and 4,651.65

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Solution

The fourth proportional to 10,205.96, 15,301.73 and 4,651.65 is: 6,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.96 : 15,301.73 = 4,651.65 : x
  2. Step 2: Convert to fraction form
    10,205.96/15,301.73 = 4,651.65/x
  3. Step 3: Cross multiply
    10,205.96x = 15,301.73 × 4,651.65
  4. Step 4: Simplify right side
    10,205.96x = 71,178,269.10
  5. Step 5: Solve for x
    x = 71,178,269.10/10,205.96
  6. Step 6: Final answer
    x = 6,974.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.