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Finding the Fourth Proportional to 10,431.54, 15,636.78 and 6,538.68

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Solution

The fourth proportional to 10,431.54, 15,636.78 and 6,538.68 is: 9,801.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,431.54 : 15,636.78 = 6,538.68 : x
  2. Step 2: Convert to fraction form
    10,431.54/15,636.78 = 6,538.68/x
  3. Step 3: Cross multiply
    10,431.54x = 15,636.78 × 6,538.68
  4. Step 4: Simplify right side
    10,431.54x = 102,243,900.65
  5. Step 5: Solve for x
    x = 102,243,900.65/10,431.54
  6. Step 6: Final answer
    x = 9,801.42

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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.