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Finding the Fourth Proportional to 8,340.30, 12,509.37 and 3,145.50

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Solution

The fourth proportional to 8,340.30, 12,509.37 and 3,145.50 is: 4,717.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.30 : 12,509.37 = 3,145.50 : x
  2. Step 2: Convert to fraction form
    8,340.30/12,509.37 = 3,145.50/x
  3. Step 3: Cross multiply
    8,340.30x = 12,509.37 × 3,145.50
  4. Step 4: Simplify right side
    8,340.30x = 39,348,223.34
  5. Step 5: Solve for x
    x = 39,348,223.34/8,340.30
  6. Step 6: Final answer
    x = 4,717.84

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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.