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Finding the Fourth Proportional to 7,803.43, 11,710.62 and 4,512

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Solution

The fourth proportional to 7,803.43, 11,710.62 and 4,512 is: 6,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.43 : 11,710.62 = 4,512 : x
  2. Step 2: Convert to fraction form
    7,803.43/11,710.62 = 4,512/x
  3. Step 3: Cross multiply
    7,803.43x = 11,710.62 × 4,512
  4. Step 4: Simplify right side
    7,803.43x = 52,838,317.44
  5. Step 5: Solve for x
    x = 52,838,317.44/7,803.43
  6. Step 6: Final answer
    x = 6,771.17

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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.