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Finding the Fourth Proportional to 8,471.12, 12,702.34 and 3,539.42

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Solution

The fourth proportional to 8,471.12, 12,702.34 and 3,539.42 is: 5,307.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,471.12 : 12,702.34 = 3,539.42 : x
  2. Step 2: Convert to fraction form
    8,471.12/12,702.34 = 3,539.42/x
  3. Step 3: Cross multiply
    8,471.12x = 12,702.34 × 3,539.42
  4. Step 4: Simplify right side
    8,471.12x = 44,958,916.24
  5. Step 5: Solve for x
    x = 44,958,916.24/8,471.12
  6. Step 6: Final answer
    x = 5,307.32

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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.