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Finding the Fourth Proportional to 8,140.10, 12,200.09 and 4,633.00

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Solution

The fourth proportional to 8,140.10, 12,200.09 and 4,633.00 is: 6,943.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.10 : 12,200.09 = 4,633.00 : x
  2. Step 2: Convert to fraction form
    8,140.10/12,200.09 = 4,633.00/x
  3. Step 3: Cross multiply
    8,140.10x = 12,200.09 × 4,633.00
  4. Step 4: Simplify right side
    8,140.10x = 56,522,963.30
  5. Step 5: Solve for x
    x = 56,522,963.30/8,140.10
  6. Step 6: Final answer
    x = 6,943.77

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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.