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Finding the Fourth Proportional to 10,758.96, 16,133.40 and 4,517.64

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Solution

The fourth proportional to 10,758.96, 16,133.40 and 4,517.64 is: 6,774.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,758.96 : 16,133.40 = 4,517.64 : x
  2. Step 2: Convert to fraction form
    10,758.96/16,133.40 = 4,517.64/x
  3. Step 3: Cross multiply
    10,758.96x = 16,133.40 × 4,517.64
  4. Step 4: Simplify right side
    10,758.96x = 72,884,893.18
  5. Step 5: Solve for x
    x = 72,884,893.18/10,758.96
  6. Step 6: Final answer
    x = 6,774.34

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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.