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Finding the Fourth Proportional to 11,888.76, 16,406.88 and 6,511.56

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Solution

The fourth proportional to 11,888.76, 16,406.88 and 6,511.56 is: 8,986.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.76 : 16,406.88 = 6,511.56 : x
  2. Step 2: Convert to fraction form
    11,888.76/16,406.88 = 6,511.56/x
  3. Step 3: Cross multiply
    11,888.76x = 16,406.88 × 6,511.56
  4. Step 4: Simplify right side
    11,888.76x = 106,834,383.53
  5. Step 5: Solve for x
    x = 106,834,383.53/11,888.76
  6. Step 6: Final answer
    x = 8,986.17

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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.