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Finding the Fourth Proportional to 11,305.64, 16,961.76 and 5,064.18

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Solution

The fourth proportional to 11,305.64, 16,961.76 and 5,064.18 is: 7,597.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,305.64 : 16,961.76 = 5,064.18 : x
  2. Step 2: Convert to fraction form
    11,305.64/16,961.76 = 5,064.18/x
  3. Step 3: Cross multiply
    11,305.64x = 16,961.76 × 5,064.18
  4. Step 4: Simplify right side
    11,305.64x = 85,897,405.76
  5. Step 5: Solve for x
    x = 85,897,405.76/11,305.64
  6. Step 6: Final answer
    x = 7,597.75

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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.