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Finding the Fourth Proportional to 10,300.66, 15,450.81 and 2,509.54

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Solution

The fourth proportional to 10,300.66, 15,450.81 and 2,509.54 is: 3,764.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.66 : 15,450.81 = 2,509.54 : x
  2. Step 2: Convert to fraction form
    10,300.66/15,450.81 = 2,509.54/x
  3. Step 3: Cross multiply
    10,300.66x = 15,450.81 × 2,509.54
  4. Step 4: Simplify right side
    10,300.66x = 38,774,425.73
  5. Step 5: Solve for x
    x = 38,774,425.73/10,300.66
  6. Step 6: Final answer
    x = 3,764.27

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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.