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Finding the Fourth Proportional to 7,928.24, 10,941.48 and 4,571

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Solution

The fourth proportional to 7,928.24, 10,941.48 and 4,571 is: 6,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.24 : 10,941.48 = 4,571 : x
  2. Step 2: Convert to fraction form
    7,928.24/10,941.48 = 4,571/x
  3. Step 3: Cross multiply
    7,928.24x = 10,941.48 × 4,571
  4. Step 4: Simplify right side
    7,928.24x = 50,013,505.08
  5. Step 5: Solve for x
    x = 50,013,505.08/7,928.24
  6. Step 6: Final answer
    x = 6,308.27

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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.