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Finding the Fourth Proportional to 11,492.82, 17,211.96 and 7,097.04

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Solution

The fourth proportional to 11,492.82, 17,211.96 and 7,097.04 is: 10,628.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,492.82 : 17,211.96 = 7,097.04 : x
  2. Step 2: Convert to fraction form
    11,492.82/17,211.96 = 7,097.04/x
  3. Step 3: Cross multiply
    11,492.82x = 17,211.96 × 7,097.04
  4. Step 4: Simplify right side
    11,492.82x = 122,153,968.60
  5. Step 5: Solve for x
    x = 122,153,968.60/11,492.82
  6. Step 6: Final answer
    x = 10,628.72

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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.