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Finding the Fourth Proportional to 7,406.28, 10,221.90 and 4,261.80

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Solution

The fourth proportional to 7,406.28, 10,221.90 and 4,261.80 is: 5,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.28 : 10,221.90 = 4,261.80 : x
  2. Step 2: Convert to fraction form
    7,406.28/10,221.90 = 4,261.80/x
  3. Step 3: Cross multiply
    7,406.28x = 10,221.90 × 4,261.80
  4. Step 4: Simplify right side
    7,406.28x = 43,563,693.42
  5. Step 5: Solve for x
    x = 43,563,693.42/7,406.28
  6. Step 6: Final answer
    x = 5,881.99

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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.