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Finding the Fourth Proportional to 8,362.32, 11,538.69 and 4,824.86

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Solution

The fourth proportional to 8,362.32, 11,538.69 and 4,824.86 is: 6,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362.32 : 11,538.69 = 4,824.86 : x
  2. Step 2: Convert to fraction form
    8,362.32/11,538.69 = 4,824.86/x
  3. Step 3: Cross multiply
    8,362.32x = 11,538.69 × 4,824.86
  4. Step 4: Simplify right side
    8,362.32x = 55,672,506.14
  5. Step 5: Solve for x
    x = 55,672,506.14/8,362.32
  6. Step 6: Final answer
    x = 6,657.54

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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.