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Finding the Fourth Proportional to 8,951.76, 12,352.95 and 5,175

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Solution

The fourth proportional to 8,951.76, 12,352.95 and 5,175 is: 7,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,951.76 : 12,352.95 = 5,175 : x
  2. Step 2: Convert to fraction form
    8,951.76/12,352.95 = 5,175/x
  3. Step 3: Cross multiply
    8,951.76x = 12,352.95 × 5,175
  4. Step 4: Simplify right side
    8,951.76x = 63,926,516.25
  5. Step 5: Solve for x
    x = 63,926,516.25/8,951.76
  6. Step 6: Final answer
    x = 7,141.22

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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.