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Finding the Fourth Proportional to 10,713.93, 16,071.66 and 3,317.44

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Solution

The fourth proportional to 10,713.93, 16,071.66 and 3,317.44 is: 4,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.93 : 16,071.66 = 3,317.44 : x
  2. Step 2: Convert to fraction form
    10,713.93/16,071.66 = 3,317.44/x
  3. Step 3: Cross multiply
    10,713.93x = 16,071.66 × 3,317.44
  4. Step 4: Simplify right side
    10,713.93x = 53,316,767.75
  5. Step 5: Solve for x
    x = 53,316,767.75/10,713.93
  6. Step 6: Final answer
    x = 4,976.40

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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.