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Finding the Fourth Proportional to 11,551.92, 15,941.54 and 6,246.70

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Solution

The fourth proportional to 11,551.92, 15,941.54 and 6,246.70 is: 8,620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.92 : 15,941.54 = 6,246.70 : x
  2. Step 2: Convert to fraction form
    11,551.92/15,941.54 = 6,246.70/x
  3. Step 3: Cross multiply
    11,551.92x = 15,941.54 × 6,246.70
  4. Step 4: Simplify right side
    11,551.92x = 99,582,017.92
  5. Step 5: Solve for x
    x = 99,582,017.92/11,551.92
  6. Step 6: Final answer
    x = 8,620.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.