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Finding the Fourth Proportional to 8,449.19, 11,658.84 and 4,671.84

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Solution

The fourth proportional to 8,449.19, 11,658.84 and 4,671.84 is: 6,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.19 : 11,658.84 = 4,671.84 : x
  2. Step 2: Convert to fraction form
    8,449.19/11,658.84 = 4,671.84/x
  3. Step 3: Cross multiply
    8,449.19x = 11,658.84 × 4,671.84
  4. Step 4: Simplify right side
    8,449.19x = 54,468,235.07
  5. Step 5: Solve for x
    x = 54,468,235.07/8,449.19
  6. Step 6: Final answer
    x = 6,446.57

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