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Finding the Fourth Proportional to 6,513.24, 8,988.18 and 3,960.12

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Solution

The fourth proportional to 6,513.24, 8,988.18 and 3,960.12 is: 5,464.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,513.24 : 8,988.18 = 3,960.12 : x
  2. Step 2: Convert to fraction form
    6,513.24/8,988.18 = 3,960.12/x
  3. Step 3: Cross multiply
    6,513.24x = 8,988.18 × 3,960.12
  4. Step 4: Simplify right side
    6,513.24x = 35,594,271.38
  5. Step 5: Solve for x
    x = 35,594,271.38/6,513.24
  6. Step 6: Final answer
    x = 5,464.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.