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Finding the Fourth Proportional to 10,707.52, 14,776.41 and 5,991.79

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Solution

The fourth proportional to 10,707.52, 14,776.41 and 5,991.79 is: 8,268.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.52 : 14,776.41 = 5,991.79 : x
  2. Step 2: Convert to fraction form
    10,707.52/14,776.41 = 5,991.79/x
  3. Step 3: Cross multiply
    10,707.52x = 14,776.41 × 5,991.79
  4. Step 4: Simplify right side
    10,707.52x = 88,537,145.67
  5. Step 5: Solve for x
    x = 88,537,145.67/10,707.52
  6. Step 6: Final answer
    x = 8,268.69

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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.