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Finding the Fourth Proportional to 10,471.82, 14,447.48 and 6,491.48

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Solution

The fourth proportional to 10,471.82, 14,447.48 and 6,491.48 is: 8,955.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.82 : 14,447.48 = 6,491.48 : x
  2. Step 2: Convert to fraction form
    10,471.82/14,447.48 = 6,491.48/x
  3. Step 3: Cross multiply
    10,471.82x = 14,447.48 × 6,491.48
  4. Step 4: Simplify right side
    10,471.82x = 93,785,527.47
  5. Step 5: Solve for x
    x = 93,785,527.47/10,471.82
  6. Step 6: Final answer
    x = 8,955.99

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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.