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Finding the Fourth Proportional to 11,511.84, 15,886.20 and 6,796.08

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Solution

The fourth proportional to 11,511.84, 15,886.20 and 6,796.08 is: 9,378.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.84 : 15,886.20 = 6,796.08 : x
  2. Step 2: Convert to fraction form
    11,511.84/15,886.20 = 6,796.08/x
  3. Step 3: Cross multiply
    11,511.84x = 15,886.20 × 6,796.08
  4. Step 4: Simplify right side
    11,511.84x = 107,963,886.10
  5. Step 5: Solve for x
    x = 107,963,886.10/11,511.84
  6. Step 6: Final answer
    x = 9,378.51

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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.