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Finding the Fourth Proportional to 11,357.92, 15,670.32 and 6,388.96

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Solution

The fourth proportional to 11,357.92, 15,670.32 and 6,388.96 is: 8,814.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,357.92 : 15,670.32 = 6,388.96 : x
  2. Step 2: Convert to fraction form
    11,357.92/15,670.32 = 6,388.96/x
  3. Step 3: Cross multiply
    11,357.92x = 15,670.32 × 6,388.96
  4. Step 4: Simplify right side
    11,357.92x = 100,117,047.67
  5. Step 5: Solve for x
    x = 100,117,047.67/11,357.92
  6. Step 6: Final answer
    x = 8,814.73

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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.