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Finding the Fourth Proportional to 10,476.99, 15,713.87 and 3,457.13

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Solution

The fourth proportional to 10,476.99, 15,713.87 and 3,457.13 is: 5,185.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,476.99 : 15,713.87 = 3,457.13 : x
  2. Step 2: Convert to fraction form
    10,476.99/15,713.87 = 3,457.13/x
  3. Step 3: Cross multiply
    10,476.99x = 15,713.87 × 3,457.13
  4. Step 4: Simplify right side
    10,476.99x = 54,324,795.54
  5. Step 5: Solve for x
    x = 54,324,795.54/10,476.99
  6. Step 6: Final answer
    x = 5,185.15

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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.