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Finding the Fourth Proportional to 8,192.76, 12,258 and 4,975.08

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Solution

The fourth proportional to 8,192.76, 12,258 and 4,975.08 is: 7,443.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192.76 : 12,258 = 4,975.08 : x
  2. Step 2: Convert to fraction form
    8,192.76/12,258 = 4,975.08/x
  3. Step 3: Cross multiply
    8,192.76x = 12,258 × 4,975.08
  4. Step 4: Simplify right side
    8,192.76x = 60,984,530.64
  5. Step 5: Solve for x
    x = 60,984,530.64/8,192.76
  6. Step 6: Final answer
    x = 7,443.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.