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Finding the Fourth Proportional to 10,707.80, 14,776.43 and 5,992.11

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Solution

The fourth proportional to 10,707.80, 14,776.43 and 5,992.11 is: 8,268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.80 : 14,776.43 = 5,992.11 : x
  2. Step 2: Convert to fraction form
    10,707.80/14,776.43 = 5,992.11/x
  3. Step 3: Cross multiply
    10,707.80x = 14,776.43 × 5,992.11
  4. Step 4: Simplify right side
    10,707.80x = 88,541,964.01
  5. Step 5: Solve for x
    x = 88,541,964.01/10,707.80
  6. Step 6: Final answer
    x = 8,268.93

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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.