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Finding the Fourth Proportional to 8,472.30, 12,709.80 and 3,539.40

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Solution

The fourth proportional to 8,472.30, 12,709.80 and 3,539.40 is: 5,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,472.30 : 12,709.80 = 3,539.40 : x
  2. Step 2: Convert to fraction form
    8,472.30/12,709.80 = 3,539.40/x
  3. Step 3: Cross multiply
    8,472.30x = 12,709.80 × 3,539.40
  4. Step 4: Simplify right side
    8,472.30x = 44,985,066.12
  5. Step 5: Solve for x
    x = 44,985,066.12/8,472.30
  6. Step 6: Final answer
    x = 5,309.66

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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.