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Finding the Fourth Proportional to 8,164.46, 11,267.09 and 4,627.60

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Solution

The fourth proportional to 8,164.46, 11,267.09 and 4,627.60 is: 6,386.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.46 : 11,267.09 = 4,627.60 : x
  2. Step 2: Convert to fraction form
    8,164.46/11,267.09 = 4,627.60/x
  3. Step 3: Cross multiply
    8,164.46x = 11,267.09 × 4,627.60
  4. Step 4: Simplify right side
    8,164.46x = 52,139,506.21
  5. Step 5: Solve for x
    x = 52,139,506.21/8,164.46
  6. Step 6: Final answer
    x = 6,386.15

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