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Finding the Fourth Proportional to 11,653.80, 17,483.76 and 5,081.28

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Solution

The fourth proportional to 11,653.80, 17,483.76 and 5,081.28 is: 7,623.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.80 : 17,483.76 = 5,081.28 : x
  2. Step 2: Convert to fraction form
    11,653.80/17,483.76 = 5,081.28/x
  3. Step 3: Cross multiply
    11,653.80x = 17,483.76 × 5,081.28
  4. Step 4: Simplify right side
    11,653.80x = 88,839,880.01
  5. Step 5: Solve for x
    x = 88,839,880.01/11,653.80
  6. Step 6: Final answer
    x = 7,623.25

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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.