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Finding the Fourth Proportional to 10,486.65, 15,732.71 and 3,912.89

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Solution

The fourth proportional to 10,486.65, 15,732.71 and 3,912.89 is: 5,870.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.65 : 15,732.71 = 3,912.89 : x
  2. Step 2: Convert to fraction form
    10,486.65/15,732.71 = 3,912.89/x
  3. Step 3: Cross multiply
    10,486.65x = 15,732.71 × 3,912.89
  4. Step 4: Simplify right side
    10,486.65x = 61,560,390.58
  5. Step 5: Solve for x
    x = 61,560,390.58/10,486.65
  6. Step 6: Final answer
    x = 5,870.36

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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.