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Finding the Fourth Proportional to 10,435.42, 15,651.87 and 2,644.30

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Solution

The fourth proportional to 10,435.42, 15,651.87 and 2,644.30 is: 3,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.42 : 15,651.87 = 2,644.30 : x
  2. Step 2: Convert to fraction form
    10,435.42/15,651.87 = 2,644.30/x
  3. Step 3: Cross multiply
    10,435.42x = 15,651.87 × 2,644.30
  4. Step 4: Simplify right side
    10,435.42x = 41,388,239.84
  5. Step 5: Solve for x
    x = 41,388,239.84/10,435.42
  6. Step 6: Final answer
    x = 3,966.13

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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.