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Finding the Fourth Proportional to 10,713.43, 16,070.91 and 3,316.94

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Solution

The fourth proportional to 10,713.43, 16,070.91 and 3,316.94 is: 4,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.43 : 16,070.91 = 3,316.94 : x
  2. Step 2: Convert to fraction form
    10,713.43/16,070.91 = 3,316.94/x
  3. Step 3: Cross multiply
    10,713.43x = 16,070.91 × 3,316.94
  4. Step 4: Simplify right side
    10,713.43x = 53,306,244.22
  5. Step 5: Solve for x
    x = 53,306,244.22/10,713.43
  6. Step 6: Final answer
    x = 4,975.65

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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.