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Finding the Fourth Proportional to 7,616.92, 11,417.82 and 3,460

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Solution

The fourth proportional to 7,616.92, 11,417.82 and 3,460 is: 5,186.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,616.92 : 11,417.82 = 3,460 : x
  2. Step 2: Convert to fraction form
    7,616.92/11,417.82 = 3,460/x
  3. Step 3: Cross multiply
    7,616.92x = 11,417.82 × 3,460
  4. Step 4: Simplify right side
    7,616.92x = 39,505,657.20
  5. Step 5: Solve for x
    x = 39,505,657.20/7,616.92
  6. Step 6: Final answer
    x = 5,186.57

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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.