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Finding the Fourth Proportional to 10,466.94, 14,444.70 and 5,992.11

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Solution

The fourth proportional to 10,466.94, 14,444.70 and 5,992.11 is: 8,269.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.94 : 14,444.70 = 5,992.11 : x
  2. Step 2: Convert to fraction form
    10,466.94/14,444.70 = 5,992.11/x
  3. Step 3: Cross multiply
    10,466.94x = 14,444.70 × 5,992.11
  4. Step 4: Simplify right side
    10,466.94x = 86,554,231.32
  5. Step 5: Solve for x
    x = 86,554,231.32/10,466.94
  6. Step 6: Final answer
    x = 8,269.30

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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.