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Finding the Fourth Proportional to 7,947.32, 10,967.02 and 4,410.46

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Solution

The fourth proportional to 7,947.32, 10,967.02 and 4,410.46 is: 6,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.32 : 10,967.02 = 4,410.46 : x
  2. Step 2: Convert to fraction form
    7,947.32/10,967.02 = 4,410.46/x
  3. Step 3: Cross multiply
    7,947.32x = 10,967.02 × 4,410.46
  4. Step 4: Simplify right side
    7,947.32x = 48,369,603.03
  5. Step 5: Solve for x
    x = 48,369,603.03/7,947.32
  6. Step 6: Final answer
    x = 6,086.28

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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.