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Finding the Fourth Proportional to 10,774.85, 14,868.24 and 6,059.03

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Solution

The fourth proportional to 10,774.85, 14,868.24 and 6,059.03 is: 8,360.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774.85 : 14,868.24 = 6,059.03 : x
  2. Step 2: Convert to fraction form
    10,774.85/14,868.24 = 6,059.03/x
  3. Step 3: Cross multiply
    10,774.85x = 14,868.24 × 6,059.03
  4. Step 4: Simplify right side
    10,774.85x = 90,087,112.21
  5. Step 5: Solve for x
    x = 90,087,112.21/10,774.85
  6. Step 6: Final answer
    x = 8,360.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.