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Finding the Fourth Proportional to 11,739.70, 16,202.91 and 7,492.06

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Solution

The fourth proportional to 11,739.70, 16,202.91 and 7,492.06 is: 10,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.70 : 16,202.91 = 7,492.06 : x
  2. Step 2: Convert to fraction form
    11,739.70/16,202.91 = 7,492.06/x
  3. Step 3: Cross multiply
    11,739.70x = 16,202.91 × 7,492.06
  4. Step 4: Simplify right side
    11,739.70x = 121,393,173.89
  5. Step 5: Solve for x
    x = 121,393,173.89/11,739.70
  6. Step 6: Final answer
    x = 10,340.40

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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.