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Finding the Fourth Proportional to 10,454.49, 14,427.23 and 5,674.46

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Solution

The fourth proportional to 10,454.49, 14,427.23 and 5,674.46 is: 7,830.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.49 : 14,427.23 = 5,674.46 : x
  2. Step 2: Convert to fraction form
    10,454.49/14,427.23 = 5,674.46/x
  3. Step 3: Cross multiply
    10,454.49x = 14,427.23 × 5,674.46
  4. Step 4: Simplify right side
    10,454.49x = 81,866,639.04
  5. Step 5: Solve for x
    x = 81,866,639.04/10,454.49
  6. Step 6: Final answer
    x = 7,830.76

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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.