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Finding the Fourth Proportional to 10,544.62, 14,551.46 and 5,828.80

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Solution

The fourth proportional to 10,544.62, 14,551.46 and 5,828.80 is: 8,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.62 : 14,551.46 = 5,828.80 : x
  2. Step 2: Convert to fraction form
    10,544.62/14,551.46 = 5,828.80/x
  3. Step 3: Cross multiply
    10,544.62x = 14,551.46 × 5,828.80
  4. Step 4: Simplify right side
    10,544.62x = 84,817,550.05
  5. Step 5: Solve for x
    x = 84,817,550.05/10,544.62
  6. Step 6: Final answer
    x = 8,043.68

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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.