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Finding the Fourth Proportional to 11,466.64, 15,822.84 and 6,429.68

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Solution

The fourth proportional to 11,466.64, 15,822.84 and 6,429.68 is: 8,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.64 : 15,822.84 = 6,429.68 : x
  2. Step 2: Convert to fraction form
    11,466.64/15,822.84 = 6,429.68/x
  3. Step 3: Cross multiply
    11,466.64x = 15,822.84 × 6,429.68
  4. Step 4: Simplify right side
    11,466.64x = 101,735,797.89
  5. Step 5: Solve for x
    x = 101,735,797.89/11,466.64
  6. Step 6: Final answer
    x = 8,872.33

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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.