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Finding the Fourth Proportional to 11,332.30, 16,984.02 and 6,404.69

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Solution

The fourth proportional to 11,332.30, 16,984.02 and 6,404.69 is: 9,598.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,332.30 : 16,984.02 = 6,404.69 : x
  2. Step 2: Convert to fraction form
    11,332.30/16,984.02 = 6,404.69/x
  3. Step 3: Cross multiply
    11,332.30x = 16,984.02 × 6,404.69
  4. Step 4: Simplify right side
    11,332.30x = 108,777,383.05
  5. Step 5: Solve for x
    x = 108,777,383.05/11,332.30
  6. Step 6: Final answer
    x = 9,598.88

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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.