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Finding the Fourth Proportional to 11,627.36, 16,044 and 7,151.84

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Solution

The fourth proportional to 11,627.36, 16,044 and 7,151.84 is: 9,868.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.36 : 16,044 = 7,151.84 : x
  2. Step 2: Convert to fraction form
    11,627.36/16,044 = 7,151.84/x
  3. Step 3: Cross multiply
    11,627.36x = 16,044 × 7,151.84
  4. Step 4: Simplify right side
    11,627.36x = 114,744,120.96
  5. Step 5: Solve for x
    x = 114,744,120.96/11,627.36
  6. Step 6: Final answer
    x = 9,868.46

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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.