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Finding the Fourth Proportional to 10,466.42, 14,446.14 and 5,992.75

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Solution

The fourth proportional to 10,466.42, 14,446.14 and 5,992.75 is: 8,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.42 : 14,446.14 = 5,992.75 : x
  2. Step 2: Convert to fraction form
    10,466.42/14,446.14 = 5,992.75/x
  3. Step 3: Cross multiply
    10,466.42x = 14,446.14 × 5,992.75
  4. Step 4: Simplify right side
    10,466.42x = 86,572,033.25
  5. Step 5: Solve for x
    x = 86,572,033.25/10,466.42
  6. Step 6: Final answer
    x = 8,271.41

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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.