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Finding the Fourth Proportional to 8,141.54, 11,235.11 and 4,604.67

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Solution

The fourth proportional to 8,141.54, 11,235.11 and 4,604.67 is: 6,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.54 : 11,235.11 = 4,604.67 : x
  2. Step 2: Convert to fraction form
    8,141.54/11,235.11 = 4,604.67/x
  3. Step 3: Cross multiply
    8,141.54x = 11,235.11 × 4,604.67
  4. Step 4: Simplify right side
    8,141.54x = 51,733,950.94
  5. Step 5: Solve for x
    x = 51,733,950.94/8,141.54
  6. Step 6: Final answer
    x = 6,354.32

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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.