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Finding the Fourth Proportional to 11,417.09, 15,755.11 and 6,381.32

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Solution

The fourth proportional to 11,417.09, 15,755.11 and 6,381.32 is: 8,805.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.09 : 15,755.11 = 6,381.32 : x
  2. Step 2: Convert to fraction form
    11,417.09/15,755.11 = 6,381.32/x
  3. Step 3: Cross multiply
    11,417.09x = 15,755.11 × 6,381.32
  4. Step 4: Simplify right side
    11,417.09x = 100,538,303.82
  5. Step 5: Solve for x
    x = 100,538,303.82/11,417.09
  6. Step 6: Final answer
    x = 8,805.95

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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.