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Finding the Fourth Proportional to 10,694.40, 14,757.84 and 6,218.28

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Solution

The fourth proportional to 10,694.40, 14,757.84 and 6,218.28 is: 8,580.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.40 : 14,757.84 = 6,218.28 : x
  2. Step 2: Convert to fraction form
    10,694.40/14,757.84 = 6,218.28/x
  3. Step 3: Cross multiply
    10,694.40x = 14,757.84 × 6,218.28
  4. Step 4: Simplify right side
    10,694.40x = 91,768,381.32
  5. Step 5: Solve for x
    x = 91,768,381.32/10,694.40
  6. Step 6: Final answer
    x = 8,580.98

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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.