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Finding the Fourth Proportional to 11,458.61, 17,185.13 and 4,791.50

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Solution

The fourth proportional to 11,458.61, 17,185.13 and 4,791.50 is: 7,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.61 : 17,185.13 = 4,791.50 : x
  2. Step 2: Convert to fraction form
    11,458.61/17,185.13 = 4,791.50/x
  3. Step 3: Cross multiply
    11,458.61x = 17,185.13 × 4,791.50
  4. Step 4: Simplify right side
    11,458.61x = 82,342,522.92
  5. Step 5: Solve for x
    x = 82,342,522.92/11,458.61
  6. Step 6: Final answer
    x = 7,186.08

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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.