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Finding the Fourth Proportional to 10,847.77, 14,969.53 and 6,131.95

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Solution

The fourth proportional to 10,847.77, 14,969.53 and 6,131.95 is: 8,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.77 : 14,969.53 = 6,131.95 : x
  2. Step 2: Convert to fraction form
    10,847.77/14,969.53 = 6,131.95/x
  3. Step 3: Cross multiply
    10,847.77x = 14,969.53 × 6,131.95
  4. Step 4: Simplify right side
    10,847.77x = 91,792,409.48
  5. Step 5: Solve for x
    x = 91,792,409.48/10,847.77
  6. Step 6: Final answer
    x = 8,461.87

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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.