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Finding the Fourth Proportional to 11,035.38, 15,213.92 and 7,492.44

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Solution

The fourth proportional to 11,035.38, 15,213.92 and 7,492.44 is: 10,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,035.38 : 15,213.92 = 7,492.44 : x
  2. Step 2: Convert to fraction form
    11,035.38/15,213.92 = 7,492.44/x
  3. Step 3: Cross multiply
    11,035.38x = 15,213.92 × 7,492.44
  4. Step 4: Simplify right side
    11,035.38x = 113,989,382.76
  5. Step 5: Solve for x
    x = 113,989,382.76/11,035.38
  6. Step 6: Final answer
    x = 10,329.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.