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Finding the Fourth Proportional to 7,241.55, 9,995.81 and 4,258.27

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Solution

The fourth proportional to 7,241.55, 9,995.81 and 4,258.27 is: 5,877.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,241.55 : 9,995.81 = 4,258.27 : x
  2. Step 2: Convert to fraction form
    7,241.55/9,995.81 = 4,258.27/x
  3. Step 3: Cross multiply
    7,241.55x = 9,995.81 × 4,258.27
  4. Step 4: Simplify right side
    7,241.55x = 42,564,849.05
  5. Step 5: Solve for x
    x = 42,564,849.05/7,241.55
  6. Step 6: Final answer
    x = 5,877.86

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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.