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Finding the Fourth Proportional to 10,500.98, 14,474.46 and 7,096.93

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Solution

The fourth proportional to 10,500.98, 14,474.46 and 7,096.93 is: 9,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,500.98 : 14,474.46 = 7,096.93 : x
  2. Step 2: Convert to fraction form
    10,500.98/14,474.46 = 7,096.93/x
  3. Step 3: Cross multiply
    10,500.98x = 14,474.46 × 7,096.93
  4. Step 4: Simplify right side
    10,500.98x = 102,724,157.04
  5. Step 5: Solve for x
    x = 102,724,157.04/10,500.98
  6. Step 6: Final answer
    x = 9,782.34

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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.