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Finding the Fourth Proportional to 10,583.98, 15,872.73 and 7,318.06

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Solution

The fourth proportional to 10,583.98, 15,872.73 and 7,318.06 is: 10,974.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.98 : 15,872.73 = 7,318.06 : x
  2. Step 2: Convert to fraction form
    10,583.98/15,872.73 = 7,318.06/x
  3. Step 3: Cross multiply
    10,583.98x = 15,872.73 × 7,318.06
  4. Step 4: Simplify right side
    10,583.98x = 116,157,674.41
  5. Step 5: Solve for x
    x = 116,157,674.41/10,583.98
  6. Step 6: Final answer
    x = 10,974.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.