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Finding the Fourth Proportional to 10,485.92, 15,725.54 and 3,464.62

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Solution

The fourth proportional to 10,485.92, 15,725.54 and 3,464.62 is: 5,195.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.92 : 15,725.54 = 3,464.62 : x
  2. Step 2: Convert to fraction form
    10,485.92/15,725.54 = 3,464.62/x
  3. Step 3: Cross multiply
    10,485.92x = 15,725.54 × 3,464.62
  4. Step 4: Simplify right side
    10,485.92x = 54,483,048.71
  5. Step 5: Solve for x
    x = 54,483,048.71/10,485.92
  6. Step 6: Final answer
    x = 5,195.83

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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.