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Finding the Fourth Proportional to 8,244.93, 11,378.57 and 4,658.67

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Solution

The fourth proportional to 8,244.93, 11,378.57 and 4,658.67 is: 6,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,244.93 : 11,378.57 = 4,658.67 : x
  2. Step 2: Convert to fraction form
    8,244.93/11,378.57 = 4,658.67/x
  3. Step 3: Cross multiply
    8,244.93x = 11,378.57 × 4,658.67
  4. Step 4: Simplify right side
    8,244.93x = 53,008,979.41
  5. Step 5: Solve for x
    x = 53,008,979.41/8,244.93
  6. Step 6: Final answer
    x = 6,429.28

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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.