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Finding the Fourth Proportional to 11,409, 17,115.66 and 5,253

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Solution

The fourth proportional to 11,409, 17,115.66 and 5,253 is: 7,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,409 : 17,115.66 = 5,253 : x
  2. Step 2: Convert to fraction form
    11,409/17,115.66 = 5,253/x
  3. Step 3: Cross multiply
    11,409x = 17,115.66 × 5,253
  4. Step 4: Simplify right side
    11,409x = 89,908,561.98
  5. Step 5: Solve for x
    x = 89,908,561.98/11,409
  6. Step 6: Final answer
    x = 7,880.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.