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Finding the Fourth Proportional to 10,443.58, 14,412.11 and 5,727.85

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Solution

The fourth proportional to 10,443.58, 14,412.11 and 5,727.85 is: 7,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.58 : 14,412.11 = 5,727.85 : x
  2. Step 2: Convert to fraction form
    10,443.58/14,412.11 = 5,727.85/x
  3. Step 3: Cross multiply
    10,443.58x = 14,412.11 × 5,727.85
  4. Step 4: Simplify right side
    10,443.58x = 82,550,339.59
  5. Step 5: Solve for x
    x = 82,550,339.59/10,443.58
  6. Step 6: Final answer
    x = 7,904.41

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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.