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Finding the Fourth Proportional to 11,256.96, 15,540.89 and 7,485.30

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Solution

The fourth proportional to 11,256.96, 15,540.89 and 7,485.30 is: 10,333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,256.96 : 15,540.89 = 7,485.30 : x
  2. Step 2: Convert to fraction form
    11,256.96/15,540.89 = 7,485.30/x
  3. Step 3: Cross multiply
    11,256.96x = 15,540.89 × 7,485.30
  4. Step 4: Simplify right side
    11,256.96x = 116,328,223.92
  5. Step 5: Solve for x
    x = 116,328,223.92/11,256.96
  6. Step 6: Final answer
    x = 10,333.89

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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.