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Finding the Fourth Proportional to 7,314, 10,084.17 and 6,104.43

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Solution

The fourth proportional to 7,314, 10,084.17 and 6,104.43 is: 8,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314 : 10,084.17 = 6,104.43 : x
  2. Step 2: Convert to fraction form
    7,314/10,084.17 = 6,104.43/x
  3. Step 3: Cross multiply
    7,314x = 10,084.17 × 6,104.43
  4. Step 4: Simplify right side
    7,314x = 61,558,109.87
  5. Step 5: Solve for x
    x = 61,558,109.87/7,314
  6. Step 6: Final answer
    x = 8,416.48

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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.