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Finding the Fourth Proportional to 11,146.40, 15,376.73 and 6,669.24

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Solution

The fourth proportional to 11,146.40, 15,376.73 and 6,669.24 is: 9,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.40 : 15,376.73 = 6,669.24 : x
  2. Step 2: Convert to fraction form
    11,146.40/15,376.73 = 6,669.24/x
  3. Step 3: Cross multiply
    11,146.40x = 15,376.73 × 6,669.24
  4. Step 4: Simplify right side
    11,146.40x = 102,551,069.44
  5. Step 5: Solve for x
    x = 102,551,069.44/11,146.40
  6. Step 6: Final answer
    x = 9,200.38

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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.