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Finding the Fourth Proportional to 8,356.72, 12,533.64 and 3,423.28

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Solution

The fourth proportional to 8,356.72, 12,533.64 and 3,423.28 is: 5,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.72 : 12,533.64 = 3,423.28 : x
  2. Step 2: Convert to fraction form
    8,356.72/12,533.64 = 3,423.28/x
  3. Step 3: Cross multiply
    8,356.72x = 12,533.64 × 3,423.28
  4. Step 4: Simplify right side
    8,356.72x = 42,906,159.14
  5. Step 5: Solve for x
    x = 42,906,159.14/8,356.72
  6. Step 6: Final answer
    x = 5,134.33

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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.