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Finding the Fourth Proportional to 11,583.78, 17,376.48 and 4,658.28

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Solution

The fourth proportional to 11,583.78, 17,376.48 and 4,658.28 is: 6,987.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.78 : 17,376.48 = 4,658.28 : x
  2. Step 2: Convert to fraction form
    11,583.78/17,376.48 = 4,658.28/x
  3. Step 3: Cross multiply
    11,583.78x = 17,376.48 × 4,658.28
  4. Step 4: Simplify right side
    11,583.78x = 80,944,509.25
  5. Step 5: Solve for x
    x = 80,944,509.25/11,583.78
  6. Step 6: Final answer
    x = 6,987.75

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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.