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Finding the Fourth Proportional to 10,299.54, 15,449.32 and 4,751.25

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Solution

The fourth proportional to 10,299.54, 15,449.32 and 4,751.25 is: 7,126.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.54 : 15,449.32 = 4,751.25 : x
  2. Step 2: Convert to fraction form
    10,299.54/15,449.32 = 4,751.25/x
  3. Step 3: Cross multiply
    10,299.54x = 15,449.32 × 4,751.25
  4. Step 4: Simplify right side
    10,299.54x = 73,403,502.93
  5. Step 5: Solve for x
    x = 73,403,502.93/10,299.54
  6. Step 6: Final answer
    x = 7,126.87

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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.