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Finding the Fourth Proportional to 5,209.98, 7,806.24 and 5,007.66

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Solution

The fourth proportional to 5,209.98, 7,806.24 and 5,007.66 is: 7,503.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.98 : 7,806.24 = 5,007.66 : x
  2. Step 2: Convert to fraction form
    5,209.98/7,806.24 = 5,007.66/x
  3. Step 3: Cross multiply
    5,209.98x = 7,806.24 × 5,007.66
  4. Step 4: Simplify right side
    5,209.98x = 39,090,995.80
  5. Step 5: Solve for x
    x = 39,090,995.80/5,209.98
  6. Step 6: Final answer
    x = 7,503.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.