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Finding the Fourth Proportional to 10,707.98, 14,777.03 and 5,992.25

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Solution

The fourth proportional to 10,707.98, 14,777.03 and 5,992.25 is: 8,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.98 : 14,777.03 = 5,992.25 : x
  2. Step 2: Convert to fraction form
    10,707.98/14,777.03 = 5,992.25/x
  3. Step 3: Cross multiply
    10,707.98x = 14,777.03 × 5,992.25
  4. Step 4: Simplify right side
    10,707.98x = 88,547,628.06
  5. Step 5: Solve for x
    x = 88,547,628.06/10,707.98
  6. Step 6: Final answer
    x = 8,269.31

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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.