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Finding the Fourth Proportional to 10,300.58, 15,450.57 and 2,509.28

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Solution

The fourth proportional to 10,300.58, 15,450.57 and 2,509.28 is: 3,763.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.58 : 15,450.57 = 2,509.28 : x
  2. Step 2: Convert to fraction form
    10,300.58/15,450.57 = 2,509.28/x
  3. Step 3: Cross multiply
    10,300.58x = 15,450.57 × 2,509.28
  4. Step 4: Simplify right side
    10,300.58x = 38,769,806.29
  5. Step 5: Solve for x
    x = 38,769,806.29/10,300.58
  6. Step 6: Final answer
    x = 3,763.85

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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.