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Finding the Fourth Proportional to 10,506.94, 15,763.18 and 3,933.26

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Solution

The fourth proportional to 10,506.94, 15,763.18 and 3,933.26 is: 5,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.94 : 15,763.18 = 3,933.26 : x
  2. Step 2: Convert to fraction form
    10,506.94/15,763.18 = 3,933.26/x
  3. Step 3: Cross multiply
    10,506.94x = 15,763.18 × 3,933.26
  4. Step 4: Simplify right side
    10,506.94x = 62,000,685.37
  5. Step 5: Solve for x
    x = 62,000,685.37/10,506.94
  6. Step 6: Final answer
    x = 5,900.93

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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.