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Finding the Fourth Proportional to 10,544.74, 14,551.54 and 5,828.92

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Solution

The fourth proportional to 10,544.74, 14,551.54 and 5,828.92 is: 8,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.74 : 14,551.54 = 5,828.92 : x
  2. Step 2: Convert to fraction form
    10,544.74/14,551.54 = 5,828.92/x
  3. Step 3: Cross multiply
    10,544.74x = 14,551.54 × 5,828.92
  4. Step 4: Simplify right side
    10,544.74x = 84,819,762.54
  5. Step 5: Solve for x
    x = 84,819,762.54/10,544.74
  6. Step 6: Final answer
    x = 8,043.80

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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.