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Finding the Fourth Proportional to 8,716.96, 12,029.32 and 4,737.96

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Solution

The fourth proportional to 8,716.96, 12,029.32 and 4,737.96 is: 6,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.96 : 12,029.32 = 4,737.96 : x
  2. Step 2: Convert to fraction form
    8,716.96/12,029.32 = 4,737.96/x
  3. Step 3: Cross multiply
    8,716.96x = 12,029.32 × 4,737.96
  4. Step 4: Simplify right side
    8,716.96x = 56,994,436.99
  5. Step 5: Solve for x
    x = 56,994,436.99/8,716.96
  6. Step 6: Final answer
    x = 6,538.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.