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Finding the Fourth Proportional to 10,415.34, 15,611.46 and 4,571.18

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Solution

The fourth proportional to 10,415.34, 15,611.46 and 4,571.18 is: 6,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,415.34 : 15,611.46 = 4,571.18 : x
  2. Step 2: Convert to fraction form
    10,415.34/15,611.46 = 4,571.18/x
  3. Step 3: Cross multiply
    10,415.34x = 15,611.46 × 4,571.18
  4. Step 4: Simplify right side
    10,415.34x = 71,362,793.72
  5. Step 5: Solve for x
    x = 71,362,793.72/10,415.34
  6. Step 6: Final answer
    x = 6,851.70

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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.