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Finding the Fourth Proportional to 10,713.57, 16,071.10 and 3,317.05

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Solution

The fourth proportional to 10,713.57, 16,071.10 and 3,317.05 is: 4,975.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.57 : 16,071.10 = 3,317.05 : x
  2. Step 2: Convert to fraction form
    10,713.57/16,071.10 = 3,317.05/x
  3. Step 3: Cross multiply
    10,713.57x = 16,071.10 × 3,317.05
  4. Step 4: Simplify right side
    10,713.57x = 53,308,642.26
  5. Step 5: Solve for x
    x = 53,308,642.26/10,713.57
  6. Step 6: Final answer
    x = 4,975.81

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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.