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Finding the Fourth Proportional to 8,506.84, 12,758.59 and 8,084.89

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Solution

The fourth proportional to 8,506.84, 12,758.59 and 8,084.89 is: 12,125.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.84 : 12,758.59 = 8,084.89 : x
  2. Step 2: Convert to fraction form
    8,506.84/12,758.59 = 8,084.89/x
  3. Step 3: Cross multiply
    8,506.84x = 12,758.59 × 8,084.89
  4. Step 4: Simplify right side
    8,506.84x = 103,151,798.84
  5. Step 5: Solve for x
    x = 103,151,798.84/8,506.84
  6. Step 6: Final answer
    x = 12,125.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.