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Finding the Fourth Proportional to 10,435.64, 15,653.05 and 2,644.38

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Solution

The fourth proportional to 10,435.64, 15,653.05 and 2,644.38 is: 3,966.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,435.64 : 15,653.05 = 2,644.38 : x
  2. Step 2: Convert to fraction form
    10,435.64/15,653.05 = 2,644.38/x
  3. Step 3: Cross multiply
    10,435.64x = 15,653.05 × 2,644.38
  4. Step 4: Simplify right side
    10,435.64x = 41,392,605.75
  5. Step 5: Solve for x
    x = 41,392,605.75/10,435.64
  6. Step 6: Final answer
    x = 3,966.47

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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.