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Finding the Fourth Proportional to 11,283.36, 15,678.42 and 11,161.68

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Solution

The fourth proportional to 11,283.36, 15,678.42 and 11,161.68 is: 15,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,283.36 : 15,678.42 = 11,161.68 : x
  2. Step 2: Convert to fraction form
    11,283.36/15,678.42 = 11,161.68/x
  3. Step 3: Cross multiply
    11,283.36x = 15,678.42 × 11,161.68
  4. Step 4: Simplify right side
    11,283.36x = 174,997,506.95
  5. Step 5: Solve for x
    x = 174,997,506.95/11,283.36
  6. Step 6: Final answer
    x = 15,509.34

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.