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Finding the Fourth Proportional to 7,177.59, 10,767 and 1,983.47

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Solution

The fourth proportional to 7,177.59, 10,767 and 1,983.47 is: 2,975.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.59 : 10,767 = 1,983.47 : x
  2. Step 2: Convert to fraction form
    7,177.59/10,767 = 1,983.47/x
  3. Step 3: Cross multiply
    7,177.59x = 10,767 × 1,983.47
  4. Step 4: Simplify right side
    7,177.59x = 21,355,967.66
  5. Step 5: Solve for x
    x = 21,355,967.66/7,177.59
  6. Step 6: Final answer
    x = 2,975.37

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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.