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Finding the Fourth Proportional to 11,811.76, 17,706.24 and 4,016.32

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Solution

The fourth proportional to 11,811.76, 17,706.24 and 4,016.32 is: 6,020.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.76 : 17,706.24 = 4,016.32 : x
  2. Step 2: Convert to fraction form
    11,811.76/17,706.24 = 4,016.32/x
  3. Step 3: Cross multiply
    11,811.76x = 17,706.24 × 4,016.32
  4. Step 4: Simplify right side
    11,811.76x = 71,113,925.84
  5. Step 5: Solve for x
    x = 71,113,925.84/11,811.76
  6. Step 6: Final answer
    x = 6,020.60

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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.