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Finding the Fourth Proportional to 11,417.52, 15,755.94 and 6,381.60

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Solution

The fourth proportional to 11,417.52, 15,755.94 and 6,381.60 is: 8,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.52 : 15,755.94 = 6,381.60 : x
  2. Step 2: Convert to fraction form
    11,417.52/15,755.94 = 6,381.60/x
  3. Step 3: Cross multiply
    11,417.52x = 15,755.94 × 6,381.60
  4. Step 4: Simplify right side
    11,417.52x = 100,548,106.70
  5. Step 5: Solve for x
    x = 100,548,106.70/11,417.52
  6. Step 6: Final answer
    x = 8,806.48

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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.