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Finding the Fourth Proportional to 11,570.84, 15,969.33 and 7,093.79

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Solution

The fourth proportional to 11,570.84, 15,969.33 and 7,093.79 is: 9,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.84 : 15,969.33 = 7,093.79 : x
  2. Step 2: Convert to fraction form
    11,570.84/15,969.33 = 7,093.79/x
  3. Step 3: Cross multiply
    11,570.84x = 15,969.33 × 7,093.79
  4. Step 4: Simplify right side
    11,570.84x = 113,282,993.61
  5. Step 5: Solve for x
    x = 113,282,993.61/11,570.84
  6. Step 6: Final answer
    x = 9,790.39

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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.