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Finding the Fourth Proportional to 11,808.30, 17,707.42 and 4,407.58

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Solution

The fourth proportional to 11,808.30, 17,707.42 and 4,407.58 is: 6,609.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808.30 : 17,707.42 = 4,407.58 : x
  2. Step 2: Convert to fraction form
    11,808.30/17,707.42 = 4,407.58/x
  3. Step 3: Cross multiply
    11,808.30x = 17,707.42 × 4,407.58
  4. Step 4: Simplify right side
    11,808.30x = 78,046,870.24
  5. Step 5: Solve for x
    x = 78,046,870.24/11,808.30
  6. Step 6: Final answer
    x = 6,609.49

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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.