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Finding the Fourth Proportional to 7,947.81, 10,971.60 and 5,433.99

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Solution

The fourth proportional to 7,947.81, 10,971.60 and 5,433.99 is: 7,501.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.81 : 10,971.60 = 5,433.99 : x
  2. Step 2: Convert to fraction form
    7,947.81/10,971.60 = 5,433.99/x
  3. Step 3: Cross multiply
    7,947.81x = 10,971.60 × 5,433.99
  4. Step 4: Simplify right side
    7,947.81x = 59,619,564.68
  5. Step 5: Solve for x
    x = 59,619,564.68/7,947.81
  6. Step 6: Final answer
    x = 7,501.38

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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.