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Finding the Fourth Proportional to 8,343.84, 11,513.52 and 4,807.20

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Solution

The fourth proportional to 8,343.84, 11,513.52 and 4,807.20 is: 6,633.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.84 : 11,513.52 = 4,807.20 : x
  2. Step 2: Convert to fraction form
    8,343.84/11,513.52 = 4,807.20/x
  3. Step 3: Cross multiply
    8,343.84x = 11,513.52 × 4,807.20
  4. Step 4: Simplify right side
    8,343.84x = 55,347,793.34
  5. Step 5: Solve for x
    x = 55,347,793.34/8,343.84
  6. Step 6: Final answer
    x = 6,633.37

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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.