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Finding the Fourth Proportional to 8,056, 11,117.46 and 4,913.92

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Solution

The fourth proportional to 8,056, 11,117.46 and 4,913.92 is: 6,781.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,056 : 11,117.46 = 4,913.92 : x
  2. Step 2: Convert to fraction form
    8,056/11,117.46 = 4,913.92/x
  3. Step 3: Cross multiply
    8,056x = 11,117.46 × 4,913.92
  4. Step 4: Simplify right side
    8,056x = 54,630,309.04
  5. Step 5: Solve for x
    x = 54,630,309.04/8,056
  6. Step 6: Final answer
    x = 6,781.32

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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.