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Finding the Fourth Proportional to 7,232.69, 9,981.23 and 4,046.15

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Solution

The fourth proportional to 7,232.69, 9,981.23 and 4,046.15 is: 5,583.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.69 : 9,981.23 = 4,046.15 : x
  2. Step 2: Convert to fraction form
    7,232.69/9,981.23 = 4,046.15/x
  3. Step 3: Cross multiply
    7,232.69x = 9,981.23 × 4,046.15
  4. Step 4: Simplify right side
    7,232.69x = 40,385,558.49
  5. Step 5: Solve for x
    x = 40,385,558.49/7,232.69
  6. Step 6: Final answer
    x = 5,583.75

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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.