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Finding the Fourth Proportional to 10,160.64, 15,233.67 and 4,611.20

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Solution

The fourth proportional to 10,160.64, 15,233.67 and 4,611.20 is: 6,913.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.64 : 15,233.67 = 4,611.20 : x
  2. Step 2: Convert to fraction form
    10,160.64/15,233.67 = 4,611.20/x
  3. Step 3: Cross multiply
    10,160.64x = 15,233.67 × 4,611.20
  4. Step 4: Simplify right side
    10,160.64x = 70,245,422.94
  5. Step 5: Solve for x
    x = 70,245,422.94/10,160.64
  6. Step 6: Final answer
    x = 6,913.48

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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.