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Finding the Fourth Proportional to 8,236.50, 12,358.98 and 4,541.64

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Solution

The fourth proportional to 8,236.50, 12,358.98 and 4,541.64 is: 6,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,236.50 : 12,358.98 = 4,541.64 : x
  2. Step 2: Convert to fraction form
    8,236.50/12,358.98 = 4,541.64/x
  3. Step 3: Cross multiply
    8,236.50x = 12,358.98 × 4,541.64
  4. Step 4: Simplify right side
    8,236.50x = 56,130,037.93
  5. Step 5: Solve for x
    x = 56,130,037.93/8,236.50
  6. Step 6: Final answer
    x = 6,814.79

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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.