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Finding the Fourth Proportional to 7,160.08, 9,880.86 and 4,016.20

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Solution

The fourth proportional to 7,160.08, 9,880.86 and 4,016.20 is: 5,542.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.08 : 9,880.86 = 4,016.20 : x
  2. Step 2: Convert to fraction form
    7,160.08/9,880.86 = 4,016.20/x
  3. Step 3: Cross multiply
    7,160.08x = 9,880.86 × 4,016.20
  4. Step 4: Simplify right side
    7,160.08x = 39,683,509.93
  5. Step 5: Solve for x
    x = 39,683,509.93/7,160.08
  6. Step 6: Final answer
    x = 5,542.33

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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.