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Finding the Fourth Proportional to 10,711.97, 16,068.41 and 3,316.57

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Solution

The fourth proportional to 10,711.97, 16,068.41 and 3,316.57 is: 4,975.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.97 : 16,068.41 = 3,316.57 : x
  2. Step 2: Convert to fraction form
    10,711.97/16,068.41 = 3,316.57/x
  3. Step 3: Cross multiply
    10,711.97x = 16,068.41 × 3,316.57
  4. Step 4: Simplify right side
    10,711.97x = 53,292,006.55
  5. Step 5: Solve for x
    x = 53,292,006.55/10,711.97
  6. Step 6: Final answer
    x = 4,975.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.