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Finding the Fourth Proportional to 11,381.06, 17,071.46 and 4,455.50

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Solution

The fourth proportional to 11,381.06, 17,071.46 and 4,455.50 is: 6,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,381.06 : 17,071.46 = 4,455.50 : x
  2. Step 2: Convert to fraction form
    11,381.06/17,071.46 = 4,455.50/x
  3. Step 3: Cross multiply
    11,381.06x = 17,071.46 × 4,455.50
  4. Step 4: Simplify right side
    11,381.06x = 76,061,890.03
  5. Step 5: Solve for x
    x = 76,061,890.03/11,381.06
  6. Step 6: Final answer
    x = 6,683.20

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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.