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Finding the Fourth Proportional to 10,195.65, 14,071.23 and 5,718.56

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Solution

The fourth proportional to 10,195.65, 14,071.23 and 5,718.56 is: 7,892.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,195.65 : 14,071.23 = 5,718.56 : x
  2. Step 2: Convert to fraction form
    10,195.65/14,071.23 = 5,718.56/x
  3. Step 3: Cross multiply
    10,195.65x = 14,071.23 × 5,718.56
  4. Step 4: Simplify right side
    10,195.65x = 80,467,102.67
  5. Step 5: Solve for x
    x = 80,467,102.67/10,195.65
  6. Step 6: Final answer
    x = 7,892.30

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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.