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Finding the Fourth Proportional to 11,628.41, 16,038.95 and 7,146.27

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Solution

The fourth proportional to 11,628.41, 16,038.95 and 7,146.27 is: 9,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,628.41 : 16,038.95 = 7,146.27 : x
  2. Step 2: Convert to fraction form
    11,628.41/16,038.95 = 7,146.27/x
  3. Step 3: Cross multiply
    11,628.41x = 16,038.95 × 7,146.27
  4. Step 4: Simplify right side
    11,628.41x = 114,618,631.49
  5. Step 5: Solve for x
    x = 114,618,631.49/11,628.41
  6. Step 6: Final answer
    x = 9,856.78

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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.