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Finding the Fourth Proportional to 10,451.52, 14,423.52 and 5,976

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Solution

The fourth proportional to 10,451.52, 14,423.52 and 5,976 is: 8,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,451.52 : 14,423.52 = 5,976 : x
  2. Step 2: Convert to fraction form
    10,451.52/14,423.52 = 5,976/x
  3. Step 3: Cross multiply
    10,451.52x = 14,423.52 × 5,976
  4. Step 4: Simplify right side
    10,451.52x = 86,194,955.52
  5. Step 5: Solve for x
    x = 86,194,955.52/10,451.52
  6. Step 6: Final answer
    x = 8,247.12

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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.