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Finding the Fourth Proportional to 8,499.30, 12,730.44 and 4,107.50

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Solution

The fourth proportional to 8,499.30, 12,730.44 and 4,107.50 is: 6,152.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,499.30 : 12,730.44 = 4,107.50 : x
  2. Step 2: Convert to fraction form
    8,499.30/12,730.44 = 4,107.50/x
  3. Step 3: Cross multiply
    8,499.30x = 12,730.44 × 4,107.50
  4. Step 4: Simplify right side
    8,499.30x = 52,290,282.30
  5. Step 5: Solve for x
    x = 52,290,282.30/8,499.30
  6. Step 6: Final answer
    x = 6,152.30

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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.