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Finding the Fourth Proportional to 7,261.40, 10,896.90 and 4,141.40

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Solution

The fourth proportional to 7,261.40, 10,896.90 and 4,141.40 is: 6,214.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.40 : 10,896.90 = 4,141.40 : x
  2. Step 2: Convert to fraction form
    7,261.40/10,896.90 = 4,141.40/x
  3. Step 3: Cross multiply
    7,261.40x = 10,896.90 × 4,141.40
  4. Step 4: Simplify right side
    7,261.40x = 45,128,421.66
  5. Step 5: Solve for x
    x = 45,128,421.66/7,261.40
  6. Step 6: Final answer
    x = 6,214.84

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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.