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Finding the Fourth Proportional to 10,846.13, 14,968.71 and 6,813.61

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Solution

The fourth proportional to 10,846.13, 14,968.71 and 6,813.61 is: 9,403.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.13 : 14,968.71 = 6,813.61 : x
  2. Step 2: Convert to fraction form
    10,846.13/14,968.71 = 6,813.61/x
  3. Step 3: Cross multiply
    10,846.13x = 14,968.71 × 6,813.61
  4. Step 4: Simplify right side
    10,846.13x = 101,990,914.72
  5. Step 5: Solve for x
    x = 101,990,914.72/10,846.13
  6. Step 6: Final answer
    x = 9,403.44

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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.