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Finding the Fourth Proportional to 10,300.80, 15,450.14 and 6,990.30

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Solution

The fourth proportional to 10,300.80, 15,450.14 and 6,990.30 is: 10,484.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.80 : 15,450.14 = 6,990.30 : x
  2. Step 2: Convert to fraction form
    10,300.80/15,450.14 = 6,990.30/x
  3. Step 3: Cross multiply
    10,300.80x = 15,450.14 × 6,990.30
  4. Step 4: Simplify right side
    10,300.80x = 108,001,113.64
  5. Step 5: Solve for x
    x = 108,001,113.64/10,300.80
  6. Step 6: Final answer
    x = 10,484.73

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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.