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Finding the Fourth Proportional to 11,580.77, 17,368.43 and 5,011.88

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Solution

The fourth proportional to 11,580.77, 17,368.43 and 5,011.88 is: 7,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580.77 : 17,368.43 = 5,011.88 : x
  2. Step 2: Convert to fraction form
    11,580.77/17,368.43 = 5,011.88/x
  3. Step 3: Cross multiply
    11,580.77x = 17,368.43 × 5,011.88
  4. Step 4: Simplify right side
    11,580.77x = 87,048,375.05
  5. Step 5: Solve for x
    x = 87,048,375.05/11,580.77
  6. Step 6: Final answer
    x = 7,516.63

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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.