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Finding the Fourth Proportional to 10,812.51, 14,917.86 and 8,536.68

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Solution

The fourth proportional to 10,812.51, 14,917.86 and 8,536.68 is: 11,777.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,812.51 : 14,917.86 = 8,536.68 : x
  2. Step 2: Convert to fraction form
    10,812.51/14,917.86 = 8,536.68/x
  3. Step 3: Cross multiply
    10,812.51x = 14,917.86 × 8,536.68
  4. Step 4: Simplify right side
    10,812.51x = 127,348,997.10
  5. Step 5: Solve for x
    x = 127,348,997.10/10,812.51
  6. Step 6: Final answer
    x = 11,777.93

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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.