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Finding the Fourth Proportional to 8,423.52, 11,628.72 and 5,772

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Solution

The fourth proportional to 8,423.52, 11,628.72 and 5,772 is: 7,968.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.52 : 11,628.72 = 5,772 : x
  2. Step 2: Convert to fraction form
    8,423.52/11,628.72 = 5,772/x
  3. Step 3: Cross multiply
    8,423.52x = 11,628.72 × 5,772
  4. Step 4: Simplify right side
    8,423.52x = 67,120,971.84
  5. Step 5: Solve for x
    x = 67,120,971.84/8,423.52
  6. Step 6: Final answer
    x = 7,968.28

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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.