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Finding the Fourth Proportional to 7,922.46, 10,934.15 and 4,564.63

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Solution

The fourth proportional to 7,922.46, 10,934.15 and 4,564.63 is: 6,299.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.46 : 10,934.15 = 4,564.63 : x
  2. Step 2: Convert to fraction form
    7,922.46/10,934.15 = 4,564.63/x
  3. Step 3: Cross multiply
    7,922.46x = 10,934.15 × 4,564.63
  4. Step 4: Simplify right side
    7,922.46x = 49,910,349.11
  5. Step 5: Solve for x
    x = 49,910,349.11/7,922.46
  6. Step 6: Final answer
    x = 6,299.85

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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.