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Finding the Fourth Proportional to 11,913.88, 16,430.39 and 7,438.04

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Solution

The fourth proportional to 11,913.88, 16,430.39 and 7,438.04 is: 10,257.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.88 : 16,430.39 = 7,438.04 : x
  2. Step 2: Convert to fraction form
    11,913.88/16,430.39 = 7,438.04/x
  3. Step 3: Cross multiply
    11,913.88x = 16,430.39 × 7,438.04
  4. Step 4: Simplify right side
    11,913.88x = 122,209,898.04
  5. Step 5: Solve for x
    x = 122,209,898.04/11,913.88
  6. Step 6: Final answer
    x = 10,257.77

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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.