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Finding the Fourth Proportional to 10,707.39, 14,776.53 and 5,991.66

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Solution

The fourth proportional to 10,707.39, 14,776.53 and 5,991.66 is: 8,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,707.39 : 14,776.53 = 5,991.66 : x
  2. Step 2: Convert to fraction form
    10,707.39/14,776.53 = 5,991.66/x
  3. Step 3: Cross multiply
    10,707.39x = 14,776.53 × 5,991.66
  4. Step 4: Simplify right side
    10,707.39x = 88,535,943.74
  5. Step 5: Solve for x
    x = 88,535,943.74/10,707.39
  6. Step 6: Final answer
    x = 8,268.68

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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.