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Finding the Fourth Proportional to 7,943.40, 10,961.34 and 4,406.40

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Solution

The fourth proportional to 7,943.40, 10,961.34 and 4,406.40 is: 6,080.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,943.40 : 10,961.34 = 4,406.40 : x
  2. Step 2: Convert to fraction form
    7,943.40/10,961.34 = 4,406.40/x
  3. Step 3: Cross multiply
    7,943.40x = 10,961.34 × 4,406.40
  4. Step 4: Simplify right side
    7,943.40x = 48,300,048.58
  5. Step 5: Solve for x
    x = 48,300,048.58/7,943.40
  6. Step 6: Final answer
    x = 6,080.53

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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.