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Finding the Fourth Proportional to 10,544.92, 14,551.37 and 5,828.92

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Solution

The fourth proportional to 10,544.92, 14,551.37 and 5,828.92 is: 8,043.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.92 : 14,551.37 = 5,828.92 : x
  2. Step 2: Convert to fraction form
    10,544.92/14,551.37 = 5,828.92/x
  3. Step 3: Cross multiply
    10,544.92x = 14,551.37 × 5,828.92
  4. Step 4: Simplify right side
    10,544.92x = 84,818,742.48
  5. Step 5: Solve for x
    x = 84,818,742.48/10,544.92
  6. Step 6: Final answer
    x = 8,043.56

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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.