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Finding the Fourth Proportional to 8,354.70, 12,533.63 and 3,357.46

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Solution

The fourth proportional to 8,354.70, 12,533.63 and 3,357.46 is: 5,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.70 : 12,533.63 = 3,357.46 : x
  2. Step 2: Convert to fraction form
    8,354.70/12,533.63 = 3,357.46/x
  3. Step 3: Cross multiply
    8,354.70x = 12,533.63 × 3,357.46
  4. Step 4: Simplify right side
    8,354.70x = 42,081,176.00
  5. Step 5: Solve for x
    x = 42,081,176.00/8,354.70
  6. Step 6: Final answer
    x = 5,036.83

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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.