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Finding the Fourth Proportional to 10,742.76, 14,831.78 and 8,757.99

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Solution

The fourth proportional to 10,742.76, 14,831.78 and 8,757.99 is: 12,091.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.76 : 14,831.78 = 8,757.99 : x
  2. Step 2: Convert to fraction form
    10,742.76/14,831.78 = 8,757.99/x
  3. Step 3: Cross multiply
    10,742.76x = 14,831.78 × 8,757.99
  4. Step 4: Simplify right side
    10,742.76x = 129,896,537.13
  5. Step 5: Solve for x
    x = 129,896,537.13/10,742.76
  6. Step 6: Final answer
    x = 12,091.54

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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.