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Finding the Fourth Proportional to 10,471.32, 14,450.70 and 5,755.80

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Solution

The fourth proportional to 10,471.32, 14,450.70 and 5,755.80 is: 7,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.32 : 14,450.70 = 5,755.80 : x
  2. Step 2: Convert to fraction form
    10,471.32/14,450.70 = 5,755.80/x
  3. Step 3: Cross multiply
    10,471.32x = 14,450.70 × 5,755.80
  4. Step 4: Simplify right side
    10,471.32x = 83,175,339.06
  5. Step 5: Solve for x
    x = 83,175,339.06/10,471.32
  6. Step 6: Final answer
    x = 7,943.16

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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.