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Finding the Fourth Proportional to 8,524, 11,763.60 and 4,798.24

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Solution

The fourth proportional to 8,524, 11,763.60 and 4,798.24 is: 6,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524 : 11,763.60 = 4,798.24 : x
  2. Step 2: Convert to fraction form
    8,524/11,763.60 = 4,798.24/x
  3. Step 3: Cross multiply
    8,524x = 11,763.60 × 4,798.24
  4. Step 4: Simplify right side
    8,524x = 56,444,576.06
  5. Step 5: Solve for x
    x = 56,444,576.06/8,524
  6. Step 6: Final answer
    x = 6,621.84

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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.