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Finding the Fourth Proportional to 8,146.32, 11,241.84 and 4,608.72

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Solution

The fourth proportional to 8,146.32, 11,241.84 and 4,608.72 is: 6,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146.32 : 11,241.84 = 4,608.72 : x
  2. Step 2: Convert to fraction form
    8,146.32/11,241.84 = 4,608.72/x
  3. Step 3: Cross multiply
    8,146.32x = 11,241.84 × 4,608.72
  4. Step 4: Simplify right side
    8,146.32x = 51,810,492.84
  5. Step 5: Solve for x
    x = 51,810,492.84/8,146.32
  6. Step 6: Final answer
    x = 6,359.99

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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.