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Finding the Fourth Proportional to 7,933, 10,947.10 and 4,347.30

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Solution

The fourth proportional to 7,933, 10,947.10 and 4,347.30 is: 5,999.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933 : 10,947.10 = 4,347.30 : x
  2. Step 2: Convert to fraction form
    7,933/10,947.10 = 4,347.30/x
  3. Step 3: Cross multiply
    7,933x = 10,947.10 × 4,347.30
  4. Step 4: Simplify right side
    7,933x = 47,590,327.83
  5. Step 5: Solve for x
    x = 47,590,327.83/7,933
  6. Step 6: Final answer
    x = 5,999.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.