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Finding the Fourth Proportional to 7,340.77, 11,014.29 and 3,833.40

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Solution

The fourth proportional to 7,340.77, 11,014.29 and 3,833.40 is: 5,751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,340.77 : 11,014.29 = 3,833.40 : x
  2. Step 2: Convert to fraction form
    7,340.77/11,014.29 = 3,833.40/x
  3. Step 3: Cross multiply
    7,340.77x = 11,014.29 × 3,833.40
  4. Step 4: Simplify right side
    7,340.77x = 42,222,179.29
  5. Step 5: Solve for x
    x = 42,222,179.29/7,340.77
  6. Step 6: Final answer
    x = 5,751.74

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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.