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Finding the Fourth Proportional to 11,799.38, 16,280.53 and 6,828.50

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Solution

The fourth proportional to 11,799.38, 16,280.53 and 6,828.50 is: 9,421.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.38 : 16,280.53 = 6,828.50 : x
  2. Step 2: Convert to fraction form
    11,799.38/16,280.53 = 6,828.50/x
  3. Step 3: Cross multiply
    11,799.38x = 16,280.53 × 6,828.50
  4. Step 4: Simplify right side
    11,799.38x = 111,171,599.11
  5. Step 5: Solve for x
    x = 111,171,599.11/11,799.38
  6. Step 6: Final answer
    x = 9,421.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.