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Finding the Fourth Proportional to 8,172.46, 11,271.45 and 5,339.62

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Solution

The fourth proportional to 8,172.46, 11,271.45 and 5,339.62 is: 7,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,172.46 : 11,271.45 = 5,339.62 : x
  2. Step 2: Convert to fraction form
    8,172.46/11,271.45 = 5,339.62/x
  3. Step 3: Cross multiply
    8,172.46x = 11,271.45 × 5,339.62
  4. Step 4: Simplify right side
    8,172.46x = 60,185,259.85
  5. Step 5: Solve for x
    x = 60,185,259.85/8,172.46
  6. Step 6: Final answer
    x = 7,364.40

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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.