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Finding the Fourth Proportional to 11,632.65, 17,442.34 and 7,939.35

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Solution

The fourth proportional to 11,632.65, 17,442.34 and 7,939.35 is: 11,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632.65 : 17,442.34 = 7,939.35 : x
  2. Step 2: Convert to fraction form
    11,632.65/17,442.34 = 7,939.35/x
  3. Step 3: Cross multiply
    11,632.65x = 17,442.34 × 7,939.35
  4. Step 4: Simplify right side
    11,632.65x = 138,480,842.08
  5. Step 5: Solve for x
    x = 138,480,842.08/11,632.65
  6. Step 6: Final answer
    x = 11,904.50

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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.