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Finding the Fourth Proportional to 10,689.56, 14,738.10 and 6,906.32

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Solution

The fourth proportional to 10,689.56, 14,738.10 and 6,906.32 is: 9,522.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,689.56 : 14,738.10 = 6,906.32 : x
  2. Step 2: Convert to fraction form
    10,689.56/14,738.10 = 6,906.32/x
  3. Step 3: Cross multiply
    10,689.56x = 14,738.10 × 6,906.32
  4. Step 4: Simplify right side
    10,689.56x = 101,786,034.79
  5. Step 5: Solve for x
    x = 101,786,034.79/10,689.56
  6. Step 6: Final answer
    x = 9,522.00

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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.