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Finding the Fourth Proportional to 11,457.78, 15,813.01 and 6,422.49

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Solution

The fourth proportional to 11,457.78, 15,813.01 and 6,422.49 is: 8,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,457.78 : 15,813.01 = 6,422.49 : x
  2. Step 2: Convert to fraction form
    11,457.78/15,813.01 = 6,422.49/x
  3. Step 3: Cross multiply
    11,457.78x = 15,813.01 × 6,422.49
  4. Step 4: Simplify right side
    11,457.78x = 101,558,787.42
  5. Step 5: Solve for x
    x = 101,558,787.42/11,457.78
  6. Step 6: Final answer
    x = 8,863.74

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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.