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Finding the Fourth Proportional to 11,590.83, 15,995.34 and 6,285.67

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Solution

The fourth proportional to 11,590.83, 15,995.34 and 6,285.67 is: 8,674.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.83 : 15,995.34 = 6,285.67 : x
  2. Step 2: Convert to fraction form
    11,590.83/15,995.34 = 6,285.67/x
  3. Step 3: Cross multiply
    11,590.83x = 15,995.34 × 6,285.67
  4. Step 4: Simplify right side
    11,590.83x = 100,541,388.79
  5. Step 5: Solve for x
    x = 100,541,388.79/11,590.83
  6. Step 6: Final answer
    x = 8,674.22

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