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Finding the Fourth Proportional to 10,707.96, 14,777.02 and 5,992.26

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Solution

The fourth proportional to 10,707.96, 14,777.02 and 5,992.26 is: 8,269.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.96 : 14,777.02 = 5,992.26 : x
  2. Step 2: Convert to fraction form
    10,707.96/14,777.02 = 5,992.26/x
  3. Step 3: Cross multiply
    10,707.96x = 14,777.02 × 5,992.26
  4. Step 4: Simplify right side
    10,707.96x = 88,547,745.87
  5. Step 5: Solve for x
    x = 88,547,745.87/10,707.96
  6. Step 6: Final answer
    x = 8,269.34

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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.