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Finding the Fourth Proportional to 11,467.64, 15,824.22 and 6,430.68

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Solution

The fourth proportional to 11,467.64, 15,824.22 and 6,430.68 is: 8,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,467.64 : 15,824.22 = 6,430.68 : x
  2. Step 2: Convert to fraction form
    11,467.64/15,824.22 = 6,430.68/x
  3. Step 3: Cross multiply
    11,467.64x = 15,824.22 × 6,430.68
  4. Step 4: Simplify right side
    11,467.64x = 101,760,495.07
  5. Step 5: Solve for x
    x = 101,760,495.07/11,467.64
  6. Step 6: Final answer
    x = 8,873.71

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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.