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Finding the Fourth Proportional to 11,816.67, 16,307.01 and 6,511.44

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Solution

The fourth proportional to 11,816.67, 16,307.01 and 6,511.44 is: 8,985.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.67 : 16,307.01 = 6,511.44 : x
  2. Step 2: Convert to fraction form
    11,816.67/16,307.01 = 6,511.44/x
  3. Step 3: Cross multiply
    11,816.67x = 16,307.01 × 6,511.44
  4. Step 4: Simplify right side
    11,816.67x = 106,182,117.19
  5. Step 5: Solve for x
    x = 106,182,117.19/11,816.67
  6. Step 6: Final answer
    x = 8,985.79

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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.