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Finding the Fourth Proportional to 11,587, 17,336.76 and 7,183.84

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Solution

The fourth proportional to 11,587, 17,336.76 and 7,183.84 is: 10,748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587 : 17,336.76 = 7,183.84 : x
  2. Step 2: Convert to fraction form
    11,587/17,336.76 = 7,183.84/x
  3. Step 3: Cross multiply
    11,587x = 17,336.76 × 7,183.84
  4. Step 4: Simplify right side
    11,587x = 124,544,509.96
  5. Step 5: Solve for x
    x = 124,544,509.96/11,587
  6. Step 6: Final answer
    x = 10,748.64

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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.