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Finding the Fourth Proportional to 7,696.50, 10,621.17 and 5,602.38

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Solution

The fourth proportional to 7,696.50, 10,621.17 and 5,602.38 is: 7,731.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.50 : 10,621.17 = 5,602.38 : x
  2. Step 2: Convert to fraction form
    7,696.50/10,621.17 = 5,602.38/x
  3. Step 3: Cross multiply
    7,696.50x = 10,621.17 × 5,602.38
  4. Step 4: Simplify right side
    7,696.50x = 59,503,830.38
  5. Step 5: Solve for x
    x = 59,503,830.38/7,696.50
  6. Step 6: Final answer
    x = 7,731.28

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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.