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Finding the Fourth Proportional to 10,604.31, 14,634.63 and 5,888.61

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Solution

The fourth proportional to 10,604.31, 14,634.63 and 5,888.61 is: 8,126.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.31 : 14,634.63 = 5,888.61 : x
  2. Step 2: Convert to fraction form
    10,604.31/14,634.63 = 5,888.61/x
  3. Step 3: Cross multiply
    10,604.31x = 14,634.63 × 5,888.61
  4. Step 4: Simplify right side
    10,604.31x = 86,177,628.56
  5. Step 5: Solve for x
    x = 86,177,628.56/10,604.31
  6. Step 6: Final answer
    x = 8,126.66

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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.