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Finding the Fourth Proportional to 10,315.72, 14,229.22 and 6,121

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Solution

The fourth proportional to 10,315.72, 14,229.22 and 6,121 is: 8,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.72 : 14,229.22 = 6,121 : x
  2. Step 2: Convert to fraction form
    10,315.72/14,229.22 = 6,121/x
  3. Step 3: Cross multiply
    10,315.72x = 14,229.22 × 6,121
  4. Step 4: Simplify right side
    10,315.72x = 87,097,055.62
  5. Step 5: Solve for x
    x = 87,097,055.62/10,315.72
  6. Step 6: Final answer
    x = 8,443.14

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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.