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Finding the Fourth Proportional to 10,455.54, 14,429.57 and 5,740.80

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Solution

The fourth proportional to 10,455.54, 14,429.57 and 5,740.80 is: 7,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.54 : 14,429.57 = 5,740.80 : x
  2. Step 2: Convert to fraction form
    10,455.54/14,429.57 = 5,740.80/x
  3. Step 3: Cross multiply
    10,455.54x = 14,429.57 × 5,740.80
  4. Step 4: Simplify right side
    10,455.54x = 82,837,246.75
  5. Step 5: Solve for x
    x = 82,837,246.75/10,455.54
  6. Step 6: Final answer
    x = 7,922.81

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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.