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Finding the Fourth Proportional to 8,417.37, 11,615.97 and 4,640.60

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Solution

The fourth proportional to 8,417.37, 11,615.97 and 4,640.60 is: 6,404.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.37 : 11,615.97 = 4,640.60 : x
  2. Step 2: Convert to fraction form
    8,417.37/11,615.97 = 4,640.60/x
  3. Step 3: Cross multiply
    8,417.37x = 11,615.97 × 4,640.60
  4. Step 4: Simplify right side
    8,417.37x = 53,905,070.38
  5. Step 5: Solve for x
    x = 53,905,070.38/8,417.37
  6. Step 6: Final answer
    x = 6,404.03

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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.