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Finding the Fourth Proportional to 7,684.32, 10,605.96 and 5,026.80

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Solution

The fourth proportional to 7,684.32, 10,605.96 and 5,026.80 is: 6,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.32 : 10,605.96 = 5,026.80 : x
  2. Step 2: Convert to fraction form
    7,684.32/10,605.96 = 5,026.80/x
  3. Step 3: Cross multiply
    7,684.32x = 10,605.96 × 5,026.80
  4. Step 4: Simplify right side
    7,684.32x = 53,314,039.73
  5. Step 5: Solve for x
    x = 53,314,039.73/7,684.32
  6. Step 6: Final answer
    x = 6,938.03

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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.