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Finding the Fourth Proportional to 10,552.37, 15,834.06 and 7,654.60

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Solution

The fourth proportional to 10,552.37, 15,834.06 and 7,654.60 is: 11,485.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,552.37 : 15,834.06 = 7,654.60 : x
  2. Step 2: Convert to fraction form
    10,552.37/15,834.06 = 7,654.60/x
  3. Step 3: Cross multiply
    10,552.37x = 15,834.06 × 7,654.60
  4. Step 4: Simplify right side
    10,552.37x = 121,203,395.68
  5. Step 5: Solve for x
    x = 121,203,395.68/10,552.37
  6. Step 6: Final answer
    x = 11,485.89

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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.