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Finding the Fourth Proportional to 10,392.46, 15,658.83 and 8,584.09

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Solution

The fourth proportional to 10,392.46, 15,658.83 and 8,584.09 is: 12,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,392.46 : 15,658.83 = 8,584.09 : x
  2. Step 2: Convert to fraction form
    10,392.46/15,658.83 = 8,584.09/x
  3. Step 3: Cross multiply
    10,392.46x = 15,658.83 × 8,584.09
  4. Step 4: Simplify right side
    10,392.46x = 134,416,806.01
  5. Step 5: Solve for x
    x = 134,416,806.01/10,392.46
  6. Step 6: Final answer
    x = 12,934.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.