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Finding the Fourth Proportional to 10,443.62, 14,412.42 and 5,727.89

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Solution

The fourth proportional to 10,443.62, 14,412.42 and 5,727.89 is: 7,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,443.62 : 14,412.42 = 5,727.89 : x
  2. Step 2: Convert to fraction form
    10,443.62/14,412.42 = 5,727.89/x
  3. Step 3: Cross multiply
    10,443.62x = 14,412.42 × 5,727.89
  4. Step 4: Simplify right side
    10,443.62x = 82,552,756.39
  5. Step 5: Solve for x
    x = 82,552,756.39/10,443.62
  6. Step 6: Final answer
    x = 7,904.61

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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.