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Finding the Fourth Proportional to 10,957.42, 16,414.49 and 7,248.43

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Solution

The fourth proportional to 10,957.42, 16,414.49 and 7,248.43 is: 10,858.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.42 : 16,414.49 = 7,248.43 : x
  2. Step 2: Convert to fraction form
    10,957.42/16,414.49 = 7,248.43/x
  3. Step 3: Cross multiply
    10,957.42x = 16,414.49 × 7,248.43
  4. Step 4: Simplify right side
    10,957.42x = 118,979,258.84
  5. Step 5: Solve for x
    x = 118,979,258.84/10,957.42
  6. Step 6: Final answer
    x = 10,858.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.