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Finding the Fourth Proportional to 7,790.07, 11,629 and 7,236.49

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Solution

The fourth proportional to 7,790.07, 11,629 and 7,236.49 is: 10,802.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.07 : 11,629 = 7,236.49 : x
  2. Step 2: Convert to fraction form
    7,790.07/11,629 = 7,236.49/x
  3. Step 3: Cross multiply
    7,790.07x = 11,629 × 7,236.49
  4. Step 4: Simplify right side
    7,790.07x = 84,153,142.21
  5. Step 5: Solve for x
    x = 84,153,142.21/7,790.07
  6. Step 6: Final answer
    x = 10,802.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.