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Finding the Fourth Proportional to 10,544.70, 14,551.67 and 5,828.99

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Solution

The fourth proportional to 10,544.70, 14,551.67 and 5,828.99 is: 8,043.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.70 : 14,551.67 = 5,828.99 : x
  2. Step 2: Convert to fraction form
    10,544.70/14,551.67 = 5,828.99/x
  3. Step 3: Cross multiply
    10,544.70x = 14,551.67 × 5,828.99
  4. Step 4: Simplify right side
    10,544.70x = 84,821,437.01
  5. Step 5: Solve for x
    x = 84,821,437.01/10,544.70
  6. Step 6: Final answer
    x = 8,043.99

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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.