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Finding the Fourth Proportional to 10,604.46, 14,623.94 and 6,828.72

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Solution

The fourth proportional to 10,604.46, 14,623.94 and 6,828.72 is: 9,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,604.46 : 14,623.94 = 6,828.72 : x
  2. Step 2: Convert to fraction form
    10,604.46/14,623.94 = 6,828.72/x
  3. Step 3: Cross multiply
    10,604.46x = 14,623.94 × 6,828.72
  4. Step 4: Simplify right side
    10,604.46x = 99,862,791.56
  5. Step 5: Solve for x
    x = 99,862,791.56/10,604.46
  6. Step 6: Final answer
    x = 9,417.06

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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.