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Finding the Fourth Proportional to 10,571.42, 15,857.32 and 4,000.70

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Solution

The fourth proportional to 10,571.42, 15,857.32 and 4,000.70 is: 6,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.42 : 15,857.32 = 4,000.70 : x
  2. Step 2: Convert to fraction form
    10,571.42/15,857.32 = 4,000.70/x
  3. Step 3: Cross multiply
    10,571.42x = 15,857.32 × 4,000.70
  4. Step 4: Simplify right side
    10,571.42x = 63,440,380.12
  5. Step 5: Solve for x
    x = 63,440,380.12/10,571.42
  6. Step 6: Final answer
    x = 6,001.12

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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.