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Finding the Fourth Proportional to 10,509.54, 15,759.85 and 5,242.51

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Solution

The fourth proportional to 10,509.54, 15,759.85 and 5,242.51 is: 7,861.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509.54 : 15,759.85 = 5,242.51 : x
  2. Step 2: Convert to fraction form
    10,509.54/15,759.85 = 5,242.51/x
  3. Step 3: Cross multiply
    10,509.54x = 15,759.85 × 5,242.51
  4. Step 4: Simplify right side
    10,509.54x = 82,621,171.22
  5. Step 5: Solve for x
    x = 82,621,171.22/10,509.54
  6. Step 6: Final answer
    x = 7,861.54

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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.