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Finding the Fourth Proportional to 11,421.14, 17,118.02 and 6,494.00

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Solution

The fourth proportional to 11,421.14, 17,118.02 and 6,494.00 is: 9,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,421.14 : 17,118.02 = 6,494.00 : x
  2. Step 2: Convert to fraction form
    11,421.14/17,118.02 = 6,494.00/x
  3. Step 3: Cross multiply
    11,421.14x = 17,118.02 × 6,494.00
  4. Step 4: Simplify right side
    11,421.14x = 111,164,352.52
  5. Step 5: Solve for x
    x = 111,164,352.52/11,421.14
  6. Step 6: Final answer
    x = 9,733.21

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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.