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Finding the Fourth Proportional to 10,013.85, 13,818.97 and 5,537.50

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Solution

The fourth proportional to 10,013.85, 13,818.97 and 5,537.50 is: 7,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,013.85 : 13,818.97 = 5,537.50 : x
  2. Step 2: Convert to fraction form
    10,013.85/13,818.97 = 5,537.50/x
  3. Step 3: Cross multiply
    10,013.85x = 13,818.97 × 5,537.50
  4. Step 4: Simplify right side
    10,013.85x = 76,522,546.38
  5. Step 5: Solve for x
    x = 76,522,546.38/10,013.85
  6. Step 6: Final answer
    x = 7,641.67

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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.