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Finding the Fourth Proportional to 11,323.75, 16,987.07 and 6,582.11

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Solution

The fourth proportional to 11,323.75, 16,987.07 and 6,582.11 is: 9,874.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,323.75 : 16,987.07 = 6,582.11 : x
  2. Step 2: Convert to fraction form
    11,323.75/16,987.07 = 6,582.11/x
  3. Step 3: Cross multiply
    11,323.75x = 16,987.07 × 6,582.11
  4. Step 4: Simplify right side
    11,323.75x = 111,810,753.37
  5. Step 5: Solve for x
    x = 111,810,753.37/11,323.75
  6. Step 6: Final answer
    x = 9,874.00

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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.