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Finding the Fourth Proportional to 8,530.22, 12,785.61 and 3,903.50

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Solution

The fourth proportional to 8,530.22, 12,785.61 and 3,903.50 is: 5,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.22 : 12,785.61 = 3,903.50 : x
  2. Step 2: Convert to fraction form
    8,530.22/12,785.61 = 3,903.50/x
  3. Step 3: Cross multiply
    8,530.22x = 12,785.61 × 3,903.50
  4. Step 4: Simplify right side
    8,530.22x = 49,908,628.64
  5. Step 5: Solve for x
    x = 49,908,628.64/8,530.22
  6. Step 6: Final answer
    x = 5,850.80

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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.