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Finding the Fourth Proportional to 10,313.64, 14,240.22 and 6,340.08

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Solution

The fourth proportional to 10,313.64, 14,240.22 and 6,340.08 is: 8,753.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.64 : 14,240.22 = 6,340.08 : x
  2. Step 2: Convert to fraction form
    10,313.64/14,240.22 = 6,340.08/x
  3. Step 3: Cross multiply
    10,313.64x = 14,240.22 × 6,340.08
  4. Step 4: Simplify right side
    10,313.64x = 90,284,134.02
  5. Step 5: Solve for x
    x = 90,284,134.02/10,313.64
  6. Step 6: Final answer
    x = 8,753.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.