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Finding the Fourth Proportional to 11,464.74, 15,820.79 and 6,429.51

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Solution

The fourth proportional to 11,464.74, 15,820.79 and 6,429.51 is: 8,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,464.74 : 15,820.79 = 6,429.51 : x
  2. Step 2: Convert to fraction form
    11,464.74/15,820.79 = 6,429.51/x
  3. Step 3: Cross multiply
    11,464.74x = 15,820.79 × 6,429.51
  4. Step 4: Simplify right side
    11,464.74x = 101,719,895.37
  5. Step 5: Solve for x
    x = 101,719,895.37/11,464.74
  6. Step 6: Final answer
    x = 8,872.41

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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.