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Finding the Fourth Proportional to 10,954.34, 16,435.97 and 5,107.35

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Solution

The fourth proportional to 10,954.34, 16,435.97 and 5,107.35 is: 7,663.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,954.34 : 16,435.97 = 5,107.35 : x
  2. Step 2: Convert to fraction form
    10,954.34/16,435.97 = 5,107.35/x
  3. Step 3: Cross multiply
    10,954.34x = 16,435.97 × 5,107.35
  4. Step 4: Simplify right side
    10,954.34x = 83,944,225.84
  5. Step 5: Solve for x
    x = 83,944,225.84/10,954.34
  6. Step 6: Final answer
    x = 7,663.11

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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.