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Finding the Fourth Proportional to 8,506.09, 12,740.68 and 5,209.21

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Solution

The fourth proportional to 8,506.09, 12,740.68 and 5,209.21 is: 7,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.09 : 12,740.68 = 5,209.21 : x
  2. Step 2: Convert to fraction form
    8,506.09/12,740.68 = 5,209.21/x
  3. Step 3: Cross multiply
    8,506.09x = 12,740.68 × 5,209.21
  4. Step 4: Simplify right side
    8,506.09x = 66,368,877.66
  5. Step 5: Solve for x
    x = 66,368,877.66/8,506.09
  6. Step 6: Final answer
    x = 7,802.51

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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.