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Finding the Fourth Proportional to 11,817.88, 16,308.88 and 7,633.42

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Solution

The fourth proportional to 11,817.88, 16,308.88 and 7,633.42 is: 10,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.88 : 16,308.88 = 7,633.42 : x
  2. Step 2: Convert to fraction form
    11,817.88/16,308.88 = 7,633.42/x
  3. Step 3: Cross multiply
    11,817.88x = 16,308.88 × 7,633.42
  4. Step 4: Simplify right side
    11,817.88x = 124,492,530.77
  5. Step 5: Solve for x
    x = 124,492,530.77/11,817.88
  6. Step 6: Final answer
    x = 10,534.25

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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.