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Finding the Fourth Proportional to 8,763, 12,092.74 and 4,784.17

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Solution

The fourth proportional to 8,763, 12,092.74 and 4,784.17 is: 6,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,763 : 12,092.74 = 4,784.17 : x
  2. Step 2: Convert to fraction form
    8,763/12,092.74 = 4,784.17/x
  3. Step 3: Cross multiply
    8,763x = 12,092.74 × 4,784.17
  4. Step 4: Simplify right side
    8,763x = 57,853,723.93
  5. Step 5: Solve for x
    x = 57,853,723.93/8,763
  6. Step 6: Final answer
    x = 6,602.05

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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.