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Finding the Fourth Proportional to 7,160.31, 9,880.74 and 4,016.25

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Solution

The fourth proportional to 7,160.31, 9,880.74 and 4,016.25 is: 5,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.31 : 9,880.74 = 4,016.25 : x
  2. Step 2: Convert to fraction form
    7,160.31/9,880.74 = 4,016.25/x
  3. Step 3: Cross multiply
    7,160.31x = 9,880.74 × 4,016.25
  4. Step 4: Simplify right side
    7,160.31x = 39,683,522.03
  5. Step 5: Solve for x
    x = 39,683,522.03/7,160.31
  6. Step 6: Final answer
    x = 5,542.15

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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.