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Finding the Fourth Proportional to 11,125.48, 15,353.86 and 6,409.64

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Solution

The fourth proportional to 11,125.48, 15,353.86 and 6,409.64 is: 8,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,125.48 : 15,353.86 = 6,409.64 : x
  2. Step 2: Convert to fraction form
    11,125.48/15,353.86 = 6,409.64/x
  3. Step 3: Cross multiply
    11,125.48x = 15,353.86 × 6,409.64
  4. Step 4: Simplify right side
    11,125.48x = 98,412,715.21
  5. Step 5: Solve for x
    x = 98,412,715.21/11,125.48
  6. Step 6: Final answer
    x = 8,845.71

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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.