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Finding the Fourth Proportional to 7,661.32, 11,496.87 and 4,153.78

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Solution

The fourth proportional to 7,661.32, 11,496.87 and 4,153.78 is: 6,233.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.32 : 11,496.87 = 4,153.78 : x
  2. Step 2: Convert to fraction form
    7,661.32/11,496.87 = 4,153.78/x
  3. Step 3: Cross multiply
    7,661.32x = 11,496.87 × 4,153.78
  4. Step 4: Simplify right side
    7,661.32x = 47,755,483.04
  5. Step 5: Solve for x
    x = 47,755,483.04/7,661.32
  6. Step 6: Final answer
    x = 6,233.33

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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.