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Finding the Fourth Proportional to 8,033.58, 12,035.16 and 4,736.88

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Solution

The fourth proportional to 8,033.58, 12,035.16 and 4,736.88 is: 7,096.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,033.58 : 12,035.16 = 4,736.88 : x
  2. Step 2: Convert to fraction form
    8,033.58/12,035.16 = 4,736.88/x
  3. Step 3: Cross multiply
    8,033.58x = 12,035.16 × 4,736.88
  4. Step 4: Simplify right side
    8,033.58x = 57,009,108.70
  5. Step 5: Solve for x
    x = 57,009,108.70/8,033.58
  6. Step 6: Final answer
    x = 7,096.35

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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.