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Finding the Fourth Proportional to 10,573.99, 15,859.71 and 2,783.41

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Solution

The fourth proportional to 10,573.99, 15,859.71 and 2,783.41 is: 4,174.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.99 : 15,859.71 = 2,783.41 : x
  2. Step 2: Convert to fraction form
    10,573.99/15,859.71 = 2,783.41/x
  3. Step 3: Cross multiply
    10,573.99x = 15,859.71 × 2,783.41
  4. Step 4: Simplify right side
    10,573.99x = 44,144,075.41
  5. Step 5: Solve for x
    x = 44,144,075.41/10,573.99
  6. Step 6: Final answer
    x = 4,174.78

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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.