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Finding the Fourth Proportional to 11,868.04, 17,803.07 and 3,102.94

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Solution

The fourth proportional to 11,868.04, 17,803.07 and 3,102.94 is: 4,654.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.04 : 17,803.07 = 3,102.94 : x
  2. Step 2: Convert to fraction form
    11,868.04/17,803.07 = 3,102.94/x
  3. Step 3: Cross multiply
    11,868.04x = 17,803.07 × 3,102.94
  4. Step 4: Simplify right side
    11,868.04x = 55,241,821.28
  5. Step 5: Solve for x
    x = 55,241,821.28/11,868.04
  6. Step 6: Final answer
    x = 4,654.67

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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.