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Finding the Fourth Proportional to 10,811.37, 14,911.70 and 7,455.24

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Solution

The fourth proportional to 10,811.37, 14,911.70 and 7,455.24 is: 10,282.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.37 : 14,911.70 = 7,455.24 : x
  2. Step 2: Convert to fraction form
    10,811.37/14,911.70 = 7,455.24/x
  3. Step 3: Cross multiply
    10,811.37x = 14,911.70 × 7,455.24
  4. Step 4: Simplify right side
    10,811.37x = 111,170,265.03
  5. Step 5: Solve for x
    x = 111,170,265.03/10,811.37
  6. Step 6: Final answer
    x = 10,282.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.