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Finding the Fourth Proportional to 8,234.40, 11,363.70 and 4,698.54

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Solution

The fourth proportional to 8,234.40, 11,363.70 and 4,698.54 is: 6,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.40 : 11,363.70 = 4,698.54 : x
  2. Step 2: Convert to fraction form
    8,234.40/11,363.70 = 4,698.54/x
  3. Step 3: Cross multiply
    8,234.40x = 11,363.70 × 4,698.54
  4. Step 4: Simplify right side
    8,234.40x = 53,392,799.00
  5. Step 5: Solve for x
    x = 53,392,799.00/8,234.40
  6. Step 6: Final answer
    x = 6,484.12

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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.