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Finding the Fourth Proportional to 8,498.39, 11,724.01 and 5,663

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Solution

The fourth proportional to 8,498.39, 11,724.01 and 5,663 is: 7,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.39 : 11,724.01 = 5,663 : x
  2. Step 2: Convert to fraction form
    8,498.39/11,724.01 = 5,663/x
  3. Step 3: Cross multiply
    8,498.39x = 11,724.01 × 5,663
  4. Step 4: Simplify right side
    8,498.39x = 66,393,068.63
  5. Step 5: Solve for x
    x = 66,393,068.63/8,498.39
  6. Step 6: Final answer
    x = 7,812.43

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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.