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Finding the Fourth Proportional to 8,455.46, 11,668.59 and 5,097.60

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Solution

The fourth proportional to 8,455.46, 11,668.59 and 5,097.60 is: 7,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.46 : 11,668.59 = 5,097.60 : x
  2. Step 2: Convert to fraction form
    8,455.46/11,668.59 = 5,097.60/x
  3. Step 3: Cross multiply
    8,455.46x = 11,668.59 × 5,097.60
  4. Step 4: Simplify right side
    8,455.46x = 59,481,804.38
  5. Step 5: Solve for x
    x = 59,481,804.38/8,455.46
  6. Step 6: Final answer
    x = 7,034.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.