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Finding the Fourth Proportional to 10,300.30, 15,450.54 and 6,812.68

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Solution

The fourth proportional to 10,300.30, 15,450.54 and 6,812.68 is: 10,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.30 : 15,450.54 = 6,812.68 : x
  2. Step 2: Convert to fraction form
    10,300.30/15,450.54 = 6,812.68/x
  3. Step 3: Cross multiply
    10,300.30x = 15,450.54 × 6,812.68
  4. Step 4: Simplify right side
    10,300.30x = 105,259,584.85
  5. Step 5: Solve for x
    x = 105,259,584.85/10,300.30
  6. Step 6: Final answer
    x = 10,219.08

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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.