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Finding the Fourth Proportional to 10,470.83, 14,449.79 and 5,755.41

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Solution

The fourth proportional to 10,470.83, 14,449.79 and 5,755.41 is: 7,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,470.83 : 14,449.79 = 5,755.41 : x
  2. Step 2: Convert to fraction form
    10,470.83/14,449.79 = 5,755.41/x
  3. Step 3: Cross multiply
    10,470.83x = 14,449.79 × 5,755.41
  4. Step 4: Simplify right side
    10,470.83x = 83,164,501.99
  5. Step 5: Solve for x
    x = 83,164,501.99/10,470.83
  6. Step 6: Final answer
    x = 7,942.50

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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.