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Finding the Fourth Proportional to 10,830.44, 14,940.86 and 7,052.24

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Solution

The fourth proportional to 10,830.44, 14,940.86 and 7,052.24 is: 9,728.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.44 : 14,940.86 = 7,052.24 : x
  2. Step 2: Convert to fraction form
    10,830.44/14,940.86 = 7,052.24/x
  3. Step 3: Cross multiply
    10,830.44x = 14,940.86 × 7,052.24
  4. Step 4: Simplify right side
    10,830.44x = 105,366,420.56
  5. Step 5: Solve for x
    x = 105,366,420.56/10,830.44
  6. Step 6: Final answer
    x = 9,728.73

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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.