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Finding the Fourth Proportional to 11,582.84, 17,370.84 and 5,007.44

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Solution

The fourth proportional to 11,582.84, 17,370.84 and 5,007.44 is: 7,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,582.84 : 17,370.84 = 5,007.44 : x
  2. Step 2: Convert to fraction form
    11,582.84/17,370.84 = 5,007.44/x
  3. Step 3: Cross multiply
    11,582.84x = 17,370.84 × 5,007.44
  4. Step 4: Simplify right side
    11,582.84x = 86,983,439.05
  5. Step 5: Solve for x
    x = 86,983,439.05/11,582.84
  6. Step 6: Final answer
    x = 7,509.68

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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.