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Finding the Fourth Proportional to 8,346.64, 11,517 and 4,809.68

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Solution

The fourth proportional to 8,346.64, 11,517 and 4,809.68 is: 6,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,346.64 : 11,517 = 4,809.68 : x
  2. Step 2: Convert to fraction form
    8,346.64/11,517 = 4,809.68/x
  3. Step 3: Cross multiply
    8,346.64x = 11,517 × 4,809.68
  4. Step 4: Simplify right side
    8,346.64x = 55,393,084.56
  5. Step 5: Solve for x
    x = 55,393,084.56/8,346.64
  6. Step 6: Final answer
    x = 6,636.57

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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.