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Finding the Fourth Proportional to 10,444.68, 14,412.72 and 5,968.42

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Solution

The fourth proportional to 10,444.68, 14,412.72 and 5,968.42 is: 8,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444.68 : 14,412.72 = 5,968.42 : x
  2. Step 2: Convert to fraction form
    10,444.68/14,412.72 = 5,968.42/x
  3. Step 3: Cross multiply
    10,444.68x = 14,412.72 × 5,968.42
  4. Step 4: Simplify right side
    10,444.68x = 86,021,166.30
  5. Step 5: Solve for x
    x = 86,021,166.30/10,444.68
  6. Step 6: Final answer
    x = 8,235.88

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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.