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Finding the Fourth Proportional to 11,830.74, 16,325.75 and 7,354.38

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Solution

The fourth proportional to 11,830.74, 16,325.75 and 7,354.38 is: 10,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.74 : 16,325.75 = 7,354.38 : x
  2. Step 2: Convert to fraction form
    11,830.74/16,325.75 = 7,354.38/x
  3. Step 3: Cross multiply
    11,830.74x = 16,325.75 × 7,354.38
  4. Step 4: Simplify right side
    11,830.74x = 120,065,687.66
  5. Step 5: Solve for x
    x = 120,065,687.66/11,830.74
  6. Step 6: Final answer
    x = 10,148.62

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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.