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Finding the Fourth Proportional to 8,421.37, 12,639.86 and 4,264.31

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Solution

The fourth proportional to 8,421.37, 12,639.86 and 4,264.31 is: 6,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.37 : 12,639.86 = 4,264.31 : x
  2. Step 2: Convert to fraction form
    8,421.37/12,639.86 = 4,264.31/x
  3. Step 3: Cross multiply
    8,421.37x = 12,639.86 × 4,264.31
  4. Step 4: Simplify right side
    8,421.37x = 53,900,281.40
  5. Step 5: Solve for x
    x = 53,900,281.40/8,421.37
  6. Step 6: Final answer
    x = 6,400.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.