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Finding the Fourth Proportional to 8,421.12, 12,617.82 and 5,124.24

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Solution

The fourth proportional to 8,421.12, 12,617.82 and 5,124.24 is: 7,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.12 : 12,617.82 = 5,124.24 : x
  2. Step 2: Convert to fraction form
    8,421.12/12,617.82 = 5,124.24/x
  3. Step 3: Cross multiply
    8,421.12x = 12,617.82 × 5,124.24
  4. Step 4: Simplify right side
    8,421.12x = 64,656,737.96
  5. Step 5: Solve for x
    x = 64,656,737.96/8,421.12
  6. Step 6: Final answer
    x = 7,677.93

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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.