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Finding the Fourth Proportional to 10,383.53, 15,580.92 and 4,835.54

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Solution

The fourth proportional to 10,383.53, 15,580.92 and 4,835.54 is: 7,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,383.53 : 15,580.92 = 4,835.54 : x
  2. Step 2: Convert to fraction form
    10,383.53/15,580.92 = 4,835.54/x
  3. Step 3: Cross multiply
    10,383.53x = 15,580.92 × 4,835.54
  4. Step 4: Simplify right side
    10,383.53x = 75,342,059.81
  5. Step 5: Solve for x
    x = 75,342,059.81/10,383.53
  6. Step 6: Final answer
    x = 7,255.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.