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Finding the Fourth Proportional to 11,186.84, 16,775.40 and 6,511.52

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Solution

The fourth proportional to 11,186.84, 16,775.40 and 6,511.52 is: 9,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,186.84 : 16,775.40 = 6,511.52 : x
  2. Step 2: Convert to fraction form
    11,186.84/16,775.40 = 6,511.52/x
  3. Step 3: Cross multiply
    11,186.84x = 16,775.40 × 6,511.52
  4. Step 4: Simplify right side
    11,186.84x = 109,233,352.61
  5. Step 5: Solve for x
    x = 109,233,352.61/11,186.84
  6. Step 6: Final answer
    x = 9,764.45

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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.