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Finding the Fourth Proportional to 11,816.30, 16,307.22 and 6,511.11

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Solution

The fourth proportional to 11,816.30, 16,307.22 and 6,511.11 is: 8,985.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816.30 : 16,307.22 = 6,511.11 : x
  2. Step 2: Convert to fraction form
    11,816.30/16,307.22 = 6,511.11/x
  3. Step 3: Cross multiply
    11,816.30x = 16,307.22 × 6,511.11
  4. Step 4: Simplify right side
    11,816.30x = 106,178,103.21
  5. Step 5: Solve for x
    x = 106,178,103.21/11,816.30
  6. Step 6: Final answer
    x = 8,985.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.