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Finding the Fourth Proportional to 11,000.40, 16,464.15 and 7,719.90

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Solution

The fourth proportional to 11,000.40, 16,464.15 and 7,719.90 is: 11,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.40 : 16,464.15 = 7,719.90 : x
  2. Step 2: Convert to fraction form
    11,000.40/16,464.15 = 7,719.90/x
  3. Step 3: Cross multiply
    11,000.40x = 16,464.15 × 7,719.90
  4. Step 4: Simplify right side
    11,000.40x = 127,101,591.59
  5. Step 5: Solve for x
    x = 127,101,591.59/11,000.40
  6. Step 6: Final answer
    x = 11,554.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.