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Finding the Fourth Proportional to 8,770.81, 12,103.74 and 4,792

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Solution

The fourth proportional to 8,770.81, 12,103.74 and 4,792 is: 6,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770.81 : 12,103.74 = 4,792 : x
  2. Step 2: Convert to fraction form
    8,770.81/12,103.74 = 4,792/x
  3. Step 3: Cross multiply
    8,770.81x = 12,103.74 × 4,792
  4. Step 4: Simplify right side
    8,770.81x = 58,001,122.08
  5. Step 5: Solve for x
    x = 58,001,122.08/8,770.81
  6. Step 6: Final answer
    x = 6,612.97

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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.