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Finding the Fourth Proportional to 10,674.34, 14,738.55 and 6,899.87

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Solution

The fourth proportional to 10,674.34, 14,738.55 and 6,899.87 is: 9,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,674.34 : 14,738.55 = 6,899.87 : x
  2. Step 2: Convert to fraction form
    10,674.34/14,738.55 = 6,899.87/x
  3. Step 3: Cross multiply
    10,674.34x = 14,738.55 × 6,899.87
  4. Step 4: Simplify right side
    10,674.34x = 101,694,078.99
  5. Step 5: Solve for x
    x = 101,694,078.99/10,674.34
  6. Step 6: Final answer
    x = 9,526.97

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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.