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Finding the Fourth Proportional to 11,718.50, 17,580.18 and 4,793

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Solution

The fourth proportional to 11,718.50, 17,580.18 and 4,793 is: 7,190.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718.50 : 17,580.18 = 4,793 : x
  2. Step 2: Convert to fraction form
    11,718.50/17,580.18 = 4,793/x
  3. Step 3: Cross multiply
    11,718.50x = 17,580.18 × 4,793
  4. Step 4: Simplify right side
    11,718.50x = 84,261,802.74
  5. Step 5: Solve for x
    x = 84,261,802.74/11,718.50
  6. Step 6: Final answer
    x = 7,190.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.