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Finding the Fourth Proportional to 10,596.94, 15,895.41 and 3,671.44

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Solution

The fourth proportional to 10,596.94, 15,895.41 and 3,671.44 is: 5,507.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,596.94 : 15,895.41 = 3,671.44 : x
  2. Step 2: Convert to fraction form
    10,596.94/15,895.41 = 3,671.44/x
  3. Step 3: Cross multiply
    10,596.94x = 15,895.41 × 3,671.44
  4. Step 4: Simplify right side
    10,596.94x = 58,358,990.58
  5. Step 5: Solve for x
    x = 58,358,990.58/10,596.94
  6. Step 6: Final answer
    x = 5,507.16

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Why These Related Problems?

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