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Finding the Fourth Proportional to 11,553.92, 17,332.48 and 4,157

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Solution

The fourth proportional to 11,553.92, 17,332.48 and 4,157 is: 6,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,553.92 : 17,332.48 = 4,157 : x
  2. Step 2: Convert to fraction form
    11,553.92/17,332.48 = 4,157/x
  3. Step 3: Cross multiply
    11,553.92x = 17,332.48 × 4,157
  4. Step 4: Simplify right side
    11,553.92x = 72,051,119.36
  5. Step 5: Solve for x
    x = 72,051,119.36/11,553.92
  6. Step 6: Final answer
    x = 6,236.08

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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.